Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(2,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([9, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bi (of order \(180\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(2304\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 117.18 | ||
Character | \(\chi\) | \(=\) | 475.117 |
Dual form | 475.2.bi.a.203.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{13}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.317394 | − | 0.747734i | −0.224432 | − | 0.528728i | 0.769510 | − | 0.638634i | \(-0.220500\pi\) |
−0.993942 | + | 0.109907i | \(0.964945\pi\) | |||||||
\(3\) | −2.54067 | + | 0.493857i | −1.46686 | + | 0.285128i | −0.860250 | − | 0.509873i | \(-0.829692\pi\) |
−0.606608 | + | 0.795001i | \(0.707470\pi\) | |||||||
\(4\) | 0.930950 | − | 0.964027i | 0.465475 | − | 0.482013i | ||||
\(5\) | −1.28972 | − | 1.82664i | −0.576779 | − | 0.816900i | ||||
\(6\) | 1.17567 | + | 1.74300i | 0.479965 | + | 0.711577i | ||||
\(7\) | 0.700725 | − | 2.61514i | 0.264849 | − | 0.988431i | −0.697493 | − | 0.716591i | \(-0.745701\pi\) |
0.962343 | − | 0.271839i | \(-0.0876320\pi\) | |||||||
\(8\) | −2.53302 | − | 0.972337i | −0.895559 | − | 0.343773i | ||||
\(9\) | 3.42957 | − | 1.38564i | 1.14319 | − | 0.461879i | ||||
\(10\) | −0.956495 | + | 1.54413i | −0.302470 | + | 0.488297i | ||||
\(11\) | 2.63093 | + | 0.559221i | 0.793255 | + | 0.168612i | 0.586680 | − | 0.809819i | \(-0.300435\pi\) |
0.206576 | + | 0.978431i | \(0.433768\pi\) | |||||||
\(12\) | −1.88915 | + | 2.90903i | −0.545350 | + | 0.839765i | ||||
\(13\) | −2.73700 | + | 0.336061i | −0.759106 | + | 0.0932065i | −0.492160 | − | 0.870505i | \(-0.663792\pi\) |
−0.266946 | + | 0.963711i | \(0.586015\pi\) | |||||||
\(14\) | −2.17784 | + | 0.306075i | −0.582051 | + | 0.0818020i | ||||
\(15\) | 4.17885 | + | 4.00397i | 1.07897 | + | 1.03382i | ||||
\(16\) | −0.0166235 | − | 0.476035i | −0.00415587 | − | 0.119009i | ||||
\(17\) | 1.05162 | − | 1.75019i | 0.255055 | − | 0.424483i | −0.702948 | − | 0.711241i | \(-0.748133\pi\) |
0.958003 | + | 0.286758i | \(0.0925777\pi\) | |||||||
\(18\) | −2.12461 | − | 2.12461i | −0.500776 | − | 0.500776i | ||||
\(19\) | −1.43935 | − | 4.11440i | −0.330209 | − | 0.943908i | ||||
\(20\) | −2.96160 | − | 0.457192i | −0.662233 | − | 0.102231i | ||||
\(21\) | −0.488808 | + | 6.99028i | −0.106667 | + | 1.52540i | ||||
\(22\) | −0.416893 | − | 2.14473i | −0.0888819 | − | 0.457258i | ||||
\(23\) | −1.79825 | + | 5.88182i | −0.374962 | + | 1.22644i | 0.546329 | + | 0.837570i | \(0.316025\pi\) |
−0.921291 | + | 0.388874i | \(0.872864\pi\) | |||||||
\(24\) | 6.91578 | + | 1.21944i | 1.41168 | + | 0.248917i | ||||
\(25\) | −1.67326 | + | 4.71171i | −0.334651 | + | 0.942342i | ||||
\(26\) | 1.11999 | + | 1.93988i | 0.219648 | + | 0.380442i | ||||
\(27\) | −1.51710 | + | 0.985219i | −0.291967 | + | 0.189606i | ||||
\(28\) | −1.86873 | − | 3.11008i | −0.353156 | − | 0.587750i | ||||
\(29\) | −1.49369 | + | 5.99086i | −0.277371 | + | 1.11248i | 0.656345 | + | 0.754461i | \(0.272102\pi\) |
−0.933716 | + | 0.358015i | \(0.883454\pi\) | |||||||
\(30\) | 1.66756 | − | 4.39550i | 0.304453 | − | 0.802506i | ||||
\(31\) | −5.90338 | − | 0.620470i | −1.06028 | − | 0.111440i | −0.441700 | − | 0.897163i | \(-0.645624\pi\) |
−0.618578 | + | 0.785723i | \(0.712291\pi\) | |||||||
\(32\) | −5.26873 | + | 2.45685i | −0.931388 | + | 0.434313i | ||||
\(33\) | −6.96051 | − | 0.121496i | −1.21167 | − | 0.0211498i | ||||
\(34\) | −1.64245 | − | 0.230832i | −0.281678 | − | 0.0395873i | ||||
\(35\) | −5.68067 | + | 2.09282i | −0.960209 | + | 0.353751i | ||||
\(36\) | 1.85697 | − | 4.59616i | 0.309495 | − | 0.766026i | ||||
\(37\) | −1.66796 | − | 3.27356i | −0.274211 | − | 0.538169i | 0.712298 | − | 0.701877i | \(-0.247655\pi\) |
−0.986509 | + | 0.163708i | \(0.947655\pi\) | |||||||
\(38\) | −2.61963 | + | 2.38214i | −0.424961 | + | 0.386433i | ||||
\(39\) | 6.78784 | − | 2.20550i | 1.08692 | − | 0.353163i | ||||
\(40\) | 1.49077 | + | 5.88097i | 0.235712 | + | 0.929864i | ||||
\(41\) | −1.98844 | + | 0.0694379i | −0.310543 | + | 0.0108444i | −0.189747 | − | 0.981833i | \(-0.560767\pi\) |
−0.120796 | + | 0.992677i | \(0.538545\pi\) | |||||||
\(42\) | 5.38201 | − | 1.85318i | 0.830462 | − | 0.285951i | ||||
\(43\) | −3.16293 | − | 4.51713i | −0.482342 | − | 0.688856i | 0.502051 | − | 0.864838i | \(-0.332579\pi\) |
−0.984393 | + | 0.175982i | \(0.943690\pi\) | |||||||
\(44\) | 2.98837 | − | 2.01568i | 0.450513 | − | 0.303875i | ||||
\(45\) | −6.95424 | − | 4.47753i | −1.03668 | − | 0.667470i | ||||
\(46\) | 4.96879 | − | 0.522241i | 0.732608 | − | 0.0770002i | ||||
\(47\) | −1.26579 | + | 0.760561i | −0.184634 | + | 0.110939i | −0.604359 | − | 0.796712i | \(-0.706571\pi\) |
0.419725 | + | 0.907651i | \(0.362126\pi\) | |||||||
\(48\) | 0.277328 | + | 1.20124i | 0.0400288 | + | 0.173384i | ||||
\(49\) | −0.285772 | − | 0.164991i | −0.0408246 | − | 0.0235701i | ||||
\(50\) | 4.05419 | − | 0.244318i | 0.573349 | − | 0.0345518i | ||||
\(51\) | −1.80748 | + | 4.96601i | −0.253098 | + | 0.695380i | ||||
\(52\) | −2.22403 | + | 2.95139i | −0.308418 | + | 0.409285i | ||||
\(53\) | 0.100732 | + | 5.77094i | 0.0138366 | + | 0.792699i | 0.924852 | + | 0.380327i | \(0.124189\pi\) |
−0.911015 | + | 0.412372i | \(0.864700\pi\) | |||||||
\(54\) | 1.21820 | + | 0.821688i | 0.165776 | + | 0.111818i | ||||
\(55\) | −2.37166 | − | 5.52701i | −0.319794 | − | 0.745262i | ||||
\(56\) | −4.31775 | + | 5.94288i | −0.576984 | + | 0.794150i | ||||
\(57\) | 5.68884 | + | 9.74251i | 0.753505 | + | 1.29043i | ||||
\(58\) | 4.95366 | − | 0.784583i | 0.650448 | − | 0.103021i | ||||
\(59\) | −4.85463 | + | 3.03351i | −0.632019 | + | 0.394929i | −0.807764 | − | 0.589506i | \(-0.799322\pi\) |
0.175745 | + | 0.984436i | \(0.443767\pi\) | |||||||
\(60\) | 7.75023 | − | 0.301030i | 1.00055 | − | 0.0388627i | ||||
\(61\) | 1.88398 | − | 1.00173i | 0.241219 | − | 0.128258i | −0.344462 | − | 0.938800i | \(-0.611938\pi\) |
0.585680 | + | 0.810542i | \(0.300827\pi\) | |||||||
\(62\) | 1.40975 | + | 4.61109i | 0.179039 | + | 0.585609i | ||||
\(63\) | −1.22045 | − | 9.93976i | −0.153762 | − | 1.25229i | ||||
\(64\) | 2.80137 | + | 2.52237i | 0.350172 | + | 0.315296i | ||||
\(65\) | 4.14382 | + | 4.56609i | 0.513977 | + | 0.566354i | ||||
\(66\) | 2.11838 | + | 5.24317i | 0.260754 | + | 0.645390i | ||||
\(67\) | 3.78556 | − | 4.35479i | 0.462480 | − | 0.532022i | −0.475035 | − | 0.879967i | \(-0.657565\pi\) |
0.937515 | + | 0.347945i | \(0.113120\pi\) | |||||||
\(68\) | −0.708224 | − | 2.64313i | −0.0858847 | − | 0.320526i | ||||
\(69\) | 1.66400 | − | 15.8319i | 0.200321 | − | 1.90593i | ||||
\(70\) | 3.36788 | + | 3.58338i | 0.402539 | + | 0.428296i | ||||
\(71\) | 6.23890 | − | 3.04291i | 0.740421 | − | 0.361127i | −0.0292466 | − | 0.999572i | \(-0.509311\pi\) |
0.769668 | + | 0.638445i | \(0.220422\pi\) | |||||||
\(72\) | −10.0345 | + | 0.175153i | −1.18258 | + | 0.0206419i | ||||
\(73\) | 12.6266 | + | 1.55036i | 1.47784 | + | 0.181455i | 0.820285 | − | 0.571955i | \(-0.193815\pi\) |
0.657550 | + | 0.753411i | \(0.271593\pi\) | |||||||
\(74\) | −1.91835 | + | 2.28620i | −0.223003 | + | 0.265765i | ||||
\(75\) | 1.92429 | − | 12.7973i | 0.222198 | − | 1.47770i | ||||
\(76\) | −5.30635 | − | 2.44273i | −0.608680 | − | 0.280200i | ||||
\(77\) | 3.30600 | − | 6.48839i | 0.376754 | − | 0.739421i | ||||
\(78\) | −3.80355 | − | 4.37549i | −0.430668 | − | 0.495426i | ||||
\(79\) | 6.90926 | − | 10.2434i | 0.777353 | − | 1.15247i | −0.207356 | − | 0.978266i | \(-0.566486\pi\) |
0.984709 | − | 0.174207i | \(-0.0557363\pi\) | |||||||
\(80\) | −0.848106 | + | 0.644315i | −0.0948212 | + | 0.0720367i | ||||
\(81\) | −4.61441 | + | 4.45609i | −0.512713 | + | 0.495121i | ||||
\(82\) | 0.683041 | + | 1.46479i | 0.0754293 | + | 0.161759i | ||||
\(83\) | −3.24393 | − | 4.00592i | −0.356067 | − | 0.439707i | 0.567366 | − | 0.823466i | \(-0.307963\pi\) |
−0.923433 | + | 0.383759i | \(0.874629\pi\) | |||||||
\(84\) | 6.28376 | + | 6.97882i | 0.685614 | + | 0.761452i | ||||
\(85\) | −4.55326 | + | 0.336315i | −0.493871 | + | 0.0364784i | ||||
\(86\) | −2.37372 | + | 3.79874i | −0.255964 | + | 0.409629i | ||||
\(87\) | 0.836349 | − | 15.9585i | 0.0896661 | − | 1.71093i | ||||
\(88\) | −6.12046 | − | 3.97467i | −0.652443 | − | 0.423701i | ||||
\(89\) | 0.0512112 | − | 1.46650i | 0.00542837 | − | 0.155448i | −0.993650 | − | 0.112518i | \(-0.964108\pi\) |
0.999078 | − | 0.0429303i | \(-0.0136693\pi\) | |||||||
\(90\) | −1.14076 | + | 6.62106i | −0.120247 | + | 0.697921i | ||||
\(91\) | −1.03903 | + | 7.39312i | −0.108920 | + | 0.775009i | ||||
\(92\) | 3.99615 | + | 7.20924i | 0.416627 | + | 0.751616i | ||||
\(93\) | 15.3050 | − | 1.33901i | 1.58705 | − | 0.138849i | ||||
\(94\) | 0.970450 | + | 0.705073i | 0.100094 | + | 0.0727228i | ||||
\(95\) | −5.65919 | + | 7.93559i | −0.580621 | + | 0.814174i | ||||
\(96\) | 12.1728 | − | 8.84404i | 1.24238 | − | 0.902641i | ||||
\(97\) | −8.06707 | + | 7.01259i | −0.819086 | + | 0.712021i | −0.960606 | − | 0.277915i | \(-0.910357\pi\) |
0.141519 | + | 0.989935i | \(0.454801\pi\) | |||||||
\(98\) | −0.0326667 | + | 0.266049i | −0.00329983 | + | 0.0268750i | ||||
\(99\) | 9.79784 | − | 1.72762i | 0.984720 | − | 0.173633i | ||||
\(100\) | 2.98450 | + | 5.99943i | 0.298450 | + | 0.599943i | ||||
\(101\) | −8.92285 | − | 3.24765i | −0.887857 | − | 0.323154i | −0.142481 | − | 0.989798i | \(-0.545508\pi\) |
−0.745376 | + | 0.666644i | \(0.767730\pi\) | |||||||
\(102\) | 4.28693 | − | 0.224669i | 0.424470 | − | 0.0222455i | ||||
\(103\) | 11.2503 | − | 13.8929i | 1.10852 | − | 1.36891i | 0.186186 | − | 0.982514i | \(-0.440387\pi\) |
0.922334 | − | 0.386394i | \(-0.126279\pi\) | |||||||
\(104\) | 7.25964 | + | 1.81003i | 0.711866 | + | 0.177488i | ||||
\(105\) | 13.3992 | − | 8.12260i | 1.30763 | − | 0.792685i | ||||
\(106\) | 4.28316 | − | 1.90698i | 0.416017 | − | 0.185223i | ||||
\(107\) | −14.4969 | − | 3.88445i | −1.40147 | − | 0.375524i | −0.522599 | − | 0.852578i | \(-0.675038\pi\) |
−0.878874 | + | 0.477055i | \(0.841704\pi\) | |||||||
\(108\) | −0.462571 | + | 2.37972i | −0.0445109 | + | 0.228989i | ||||
\(109\) | −1.21833 | − | 0.647797i | −0.116695 | − | 0.0620477i | 0.410098 | − | 0.912041i | \(-0.365494\pi\) |
−0.526793 | + | 0.849994i | \(0.676606\pi\) | |||||||
\(110\) | −3.37998 | + | 3.52761i | −0.322269 | + | 0.336344i | ||||
\(111\) | 5.85441 | + | 7.49330i | 0.555676 | + | 0.711233i | ||||
\(112\) | −1.25655 | − | 0.290097i | −0.118732 | − | 0.0274116i | ||||
\(113\) | 13.5508 | − | 6.90450i | 1.27476 | − | 0.649521i | 0.320143 | − | 0.947369i | \(-0.396269\pi\) |
0.954613 | + | 0.297848i | \(0.0962689\pi\) | |||||||
\(114\) | 5.47920 | − | 7.34595i | 0.513174 | − | 0.688011i | ||||
\(115\) | 13.0632 | − | 4.30112i | 1.21815 | − | 0.401081i | ||||
\(116\) | 4.38480 | + | 7.01715i | 0.407119 | + | 0.651526i | ||||
\(117\) | −8.92106 | + | 4.94503i | −0.824753 | + | 0.457168i | ||||
\(118\) | 3.80909 | + | 2.66715i | 0.350655 | + | 0.245531i | ||||
\(119\) | −3.84009 | − | 3.97653i | −0.352021 | − | 0.364528i | ||||
\(120\) | −6.69192 | − | 14.2054i | −0.610886 | − | 1.29677i | ||||
\(121\) | −3.43994 | − | 1.53156i | −0.312721 | − | 0.139233i | ||||
\(122\) | −1.34699 | − | 1.09077i | −0.121951 | − | 0.0987539i | ||||
\(123\) | 5.01769 | − | 1.15842i | 0.452430 | − | 0.104452i | ||||
\(124\) | −6.09390 | + | 5.11339i | −0.547248 | + | 0.459196i | ||||
\(125\) | 10.7646 | − | 3.02033i | 0.962819 | − | 0.270146i | ||||
\(126\) | −7.04494 | + | 4.06740i | −0.627613 | + | 0.362352i | ||||
\(127\) | −8.01861 | − | 8.59891i | −0.711537 | − | 0.763030i | 0.268190 | − | 0.963366i | \(-0.413574\pi\) |
−0.979727 | + | 0.200336i | \(0.935797\pi\) | |||||||
\(128\) | −2.78839 | + | 8.09808i | −0.246461 | + | 0.715776i | ||||
\(129\) | 10.2668 | + | 9.91451i | 0.903940 | + | 0.872924i | ||||
\(130\) | 2.09900 | − | 4.54772i | 0.184094 | − | 0.398862i | ||||
\(131\) | −4.41376 | − | 17.7026i | −0.385632 | − | 1.54669i | −0.778832 | − | 0.627233i | \(-0.784188\pi\) |
0.393200 | − | 0.919453i | \(-0.371368\pi\) | |||||||
\(132\) | −6.59701 | + | 6.59701i | −0.574196 | + | 0.574196i | ||||
\(133\) | −11.7683 | + | 0.881038i | −1.02044 | + | 0.0763957i | ||||
\(134\) | −4.45774 | − | 1.44841i | −0.385090 | − | 0.125123i | ||||
\(135\) | 3.75628 | + | 1.50056i | 0.323289 | + | 0.129147i | ||||
\(136\) | −4.36555 | + | 3.41074i | −0.374343 | + | 0.292469i | ||||
\(137\) | 9.81782 | + | 13.0287i | 0.838793 | + | 1.11312i | 0.992163 | + | 0.124947i | \(0.0398760\pi\) |
−0.153371 | + | 0.988169i | \(0.549013\pi\) | |||||||
\(138\) | −12.3662 | + | 3.78071i | −1.05268 | + | 0.321836i | ||||
\(139\) | −9.06844 | − | 0.316677i | −0.769175 | − | 0.0268602i | −0.352376 | − | 0.935859i | \(-0.614626\pi\) |
−0.416800 | + | 0.908998i | \(0.636848\pi\) | |||||||
\(140\) | −3.27089 | + | 7.42463i | −0.276440 | + | 0.627496i | ||||
\(141\) | 2.84034 | − | 2.55745i | 0.239200 | − | 0.215376i | ||||
\(142\) | −4.25548 | − | 3.69923i | −0.357112 | − | 0.310433i | ||||
\(143\) | −7.38878 | − | 0.646434i | −0.617881 | − | 0.0540575i | ||||
\(144\) | −0.716623 | − | 1.60956i | −0.0597185 | − | 0.134130i | ||||
\(145\) | 12.8696 | − | 4.99808i | 1.06876 | − | 0.415068i | ||||
\(146\) | −2.84837 | − | 9.93343i | −0.235732 | − | 0.822097i | ||||
\(147\) | 0.807535 | + | 0.278057i | 0.0666044 | + | 0.0229337i | ||||
\(148\) | −4.70858 | − | 1.43956i | −0.387043 | − | 0.118331i | ||||
\(149\) | −0.951353 | − | 2.61382i | −0.0779379 | − | 0.214133i | 0.894604 | − | 0.446859i | \(-0.147457\pi\) |
−0.972542 | + | 0.232727i | \(0.925235\pi\) | |||||||
\(150\) | −10.1797 | + | 2.62292i | −0.831169 | + | 0.214161i | ||||
\(151\) | 9.61288i | 0.782285i | 0.920330 | + | 0.391143i | \(0.127920\pi\) | ||||
−0.920330 | + | 0.391143i | \(0.872080\pi\) | |||||||
\(152\) | −0.354677 | + | 11.8214i | −0.0287681 | + | 0.958842i | ||||
\(153\) | 1.18148 | − | 7.45956i | 0.0955168 | − | 0.603070i | ||||
\(154\) | −5.90090 | − | 0.412631i | −0.475508 | − | 0.0332508i | ||||
\(155\) | 6.48031 | + | 11.5836i | 0.520511 | + | 0.930417i | ||||
\(156\) | 4.19298 | − | 8.59688i | 0.335707 | − | 0.688301i | ||||
\(157\) | −8.75827 | + | 6.13261i | −0.698986 | + | 0.489436i | −0.868245 | − | 0.496136i | \(-0.834752\pi\) |
0.169258 | + | 0.985572i | \(0.445863\pi\) | |||||||
\(158\) | −9.85230 | − | 1.91509i | −0.783807 | − | 0.152357i | ||||
\(159\) | −3.10594 | − | 14.6123i | −0.246317 | − | 1.15883i | ||||
\(160\) | 11.2830 | + | 6.45545i | 0.891996 | + | 0.510348i | ||||
\(161\) | 14.1217 | + | 8.82422i | 1.11295 | + | 0.695446i | ||||
\(162\) | 4.79656 | + | 2.03602i | 0.376853 | + | 0.159965i | ||||
\(163\) | −22.5381 | − | 1.18117i | −1.76532 | − | 0.0925167i | −0.858183 | − | 0.513345i | \(-0.828406\pi\) |
−0.907140 | + | 0.420828i | \(0.861740\pi\) | |||||||
\(164\) | −1.78420 | + | 1.98156i | −0.139323 | + | 0.154733i | ||||
\(165\) | 8.75516 | + | 12.8711i | 0.681588 | + | 1.00201i | ||||
\(166\) | −1.96576 | + | 3.69705i | −0.152572 | + | 0.286947i | ||||
\(167\) | −0.972693 | − | 2.82491i | −0.0752693 | − | 0.218598i | 0.901545 | − | 0.432685i | \(-0.142434\pi\) |
−0.976815 | + | 0.214087i | \(0.931322\pi\) | |||||||
\(168\) | 8.03507 | − | 17.2313i | 0.619919 | − | 1.32942i | ||||
\(169\) | −5.23564 | + | 1.30539i | −0.402741 | + | 0.100415i | ||||
\(170\) | 1.69665 | + | 3.29789i | 0.130127 | + | 0.252936i | ||||
\(171\) | −10.6374 | − | 12.1162i | −0.813463 | − | 0.926550i | ||||
\(172\) | −7.29916 | − | 1.15607i | −0.556556 | − | 0.0881498i | ||||
\(173\) | −0.0379277 | + | 0.0160993i | −0.00288359 | + | 0.00122401i | −0.392172 | − | 0.919892i | \(-0.628276\pi\) |
0.389289 | + | 0.921116i | \(0.372721\pi\) | |||||||
\(174\) | −12.1982 | + | 4.43977i | −0.924740 | + | 0.336578i | ||||
\(175\) | 11.1493 | + | 7.67742i | 0.842808 | + | 0.580358i | ||||
\(176\) | 0.222474 | − | 1.26171i | 0.0167696 | − | 0.0951050i | ||||
\(177\) | 10.8359 | − | 10.1046i | 0.814477 | − | 0.759512i | ||||
\(178\) | −1.11280 | + | 0.427165i | −0.0834081 | + | 0.0320174i | ||||
\(179\) | −1.78240 | − | 16.9584i | −0.133223 | − | 1.26753i | −0.833041 | − | 0.553211i | \(-0.813402\pi\) |
0.699818 | − | 0.714321i | \(-0.253264\pi\) | |||||||
\(180\) | −10.7905 | + | 2.53572i | −0.804277 | + | 0.189002i | ||||
\(181\) | −0.772737 | − | 11.0507i | −0.0574371 | − | 0.821388i | −0.937819 | − | 0.347124i | \(-0.887158\pi\) |
0.880382 | − | 0.474265i | \(-0.157286\pi\) | |||||||
\(182\) | 5.85787 | − | 1.56961i | 0.434214 | − | 0.116347i | ||||
\(183\) | −4.29186 | + | 3.47548i | −0.317264 | + | 0.256915i | ||||
\(184\) | 10.2741 | − | 13.1503i | 0.757419 | − | 0.969452i | ||||
\(185\) | −3.82843 | + | 7.26873i | −0.281471 | + | 0.534408i | ||||
\(186\) | −5.85893 | − | 11.0191i | −0.429598 | − | 0.807956i | ||||
\(187\) | 3.74548 | − | 4.01654i | 0.273897 | − | 0.293718i | ||||
\(188\) | −0.445182 | + | 1.92829i | −0.0324682 | + | 0.140635i | ||||
\(189\) | 1.51341 | + | 4.65781i | 0.110085 | + | 0.338806i | ||||
\(190\) | 7.72990 | + | 1.71286i | 0.560786 | + | 0.124264i | ||||
\(191\) | −3.86160 | + | 11.8848i | −0.279416 | + | 0.859953i | 0.708602 | + | 0.705609i | \(0.249326\pi\) |
−0.988017 | + | 0.154344i | \(0.950674\pi\) | |||||||
\(192\) | −8.36306 | − | 5.02504i | −0.603552 | − | 0.362651i | ||||
\(193\) | 16.4472 | + | 7.66944i | 1.18389 | + | 0.552058i | 0.911968 | − | 0.410261i | \(-0.134562\pi\) |
0.271924 | + | 0.962319i | \(0.412340\pi\) | |||||||
\(194\) | 7.80399 | + | 3.80626i | 0.560294 | + | 0.273274i | ||||
\(195\) | −12.7831 | − | 9.55450i | −0.915415 | − | 0.684212i | ||||
\(196\) | −0.425095 | + | 0.121894i | −0.0303639 | + | 0.00870672i | ||||
\(197\) | 3.49659 | + | 9.10894i | 0.249122 | + | 0.648985i | 0.999934 | − | 0.0115315i | \(-0.00367066\pi\) |
−0.750811 | + | 0.660517i | \(0.770337\pi\) | |||||||
\(198\) | −4.40158 | − | 6.77784i | −0.312807 | − | 0.481680i | ||||
\(199\) | −17.3186 | − | 20.6395i | −1.22768 | − | 1.46310i | −0.841132 | − | 0.540831i | \(-0.818110\pi\) |
−0.386553 | − | 0.922267i | \(-0.626334\pi\) | |||||||
\(200\) | 8.81977 | − | 10.3079i | 0.623652 | − | 0.728879i | ||||
\(201\) | −7.46723 | + | 12.9336i | −0.526698 | + | 0.912267i | ||||
\(202\) | 0.403682 | + | 7.70271i | 0.0284029 | + | 0.541960i | ||||
\(203\) | 14.6203 | + | 8.10416i | 1.02614 | + | 0.568801i | ||||
\(204\) | 3.10469 | + | 6.36556i | 0.217372 | + | 0.445678i | ||||
\(205\) | 2.69137 | + | 3.54262i | 0.187973 | + | 0.247427i | ||||
\(206\) | −13.9590 | − | 4.00267i | −0.972567 | − | 0.278879i | ||||
\(207\) | 1.98283 | + | 22.6638i | 0.137816 | + | 1.57525i | ||||
\(208\) | 0.205475 | + | 1.29732i | 0.0142471 | + | 0.0899528i | ||||
\(209\) | −1.48597 | − | 11.6296i | −0.102786 | − | 0.804437i | ||||
\(210\) | −10.3264 | − | 7.44095i | −0.712587 | − | 0.513474i | ||||
\(211\) | 22.2164 | + | 8.97599i | 1.52944 | + | 0.617933i | 0.976544 | − | 0.215319i | \(-0.0690791\pi\) |
0.552894 | + | 0.833252i | \(0.313524\pi\) | |||||||
\(212\) | 5.65712 | + | 5.27535i | 0.388532 | + | 0.362312i | ||||
\(213\) | −14.3482 | + | 10.8122i | −0.983125 | + | 0.740838i | ||||
\(214\) | 1.69672 | + | 12.0728i | 0.115985 | + | 0.825277i | ||||
\(215\) | −4.17190 | + | 11.6034i | −0.284522 | + | 0.791343i | ||||
\(216\) | 4.80083 | − | 1.02045i | 0.326655 | − | 0.0694327i | ||||
\(217\) | −5.75926 | + | 15.0034i | −0.390964 | + | 1.01850i | ||||
\(218\) | −0.0976892 | + | 1.11659i | −0.00661635 | + | 0.0756252i | ||||
\(219\) | −32.8458 | + | 2.29680i | −2.21951 | + | 0.155203i | ||||
\(220\) | −7.53608 | − | 2.85903i | −0.508082 | − | 0.192756i | ||||
\(221\) | −2.29011 | + | 5.14367i | −0.154049 | + | 0.346000i | ||||
\(222\) | 3.74484 | − | 6.75587i | 0.251337 | − | 0.453424i | ||||
\(223\) | 21.4726 | + | 16.1808i | 1.43791 | + | 1.08354i | 0.980995 | + | 0.194035i | \(0.0621575\pi\) |
0.456917 | + | 0.889509i | \(0.348954\pi\) | |||||||
\(224\) | 2.73307 | + | 15.5000i | 0.182611 | + | 1.03564i | ||||
\(225\) | 0.790163 | + | 18.4777i | 0.0526775 | + | 1.23184i | ||||
\(226\) | −9.46369 | − | 7.94098i | −0.629515 | − | 0.528226i | ||||
\(227\) | −7.33853 | − | 3.73917i | −0.487075 | − | 0.248177i | 0.193165 | − | 0.981166i | \(-0.438125\pi\) |
−0.680241 | + | 0.732989i | \(0.738125\pi\) | |||||||
\(228\) | 14.6881 | + | 3.58560i | 0.972740 | + | 0.237462i | ||||
\(229\) | 9.43080 | + | 12.9804i | 0.623205 | + | 0.857767i | 0.997581 | − | 0.0695092i | \(-0.0221433\pi\) |
−0.374377 | + | 0.927277i | \(0.622143\pi\) | |||||||
\(230\) | −7.36229 | − | 8.40267i | −0.485455 | − | 0.554056i | ||||
\(231\) | −5.19513 | + | 18.1176i | −0.341815 | + | 1.19205i | ||||
\(232\) | 9.60869 | − | 13.7226i | 0.630842 | − | 0.900935i | ||||
\(233\) | 0.342508 | − | 19.6223i | 0.0224385 | − | 1.28550i | −0.754658 | − | 0.656118i | \(-0.772197\pi\) |
0.777097 | − | 0.629381i | \(-0.216692\pi\) | |||||||
\(234\) | 6.52906 | + | 5.10106i | 0.426818 | + | 0.333467i | ||||
\(235\) | 3.02178 | + | 1.33123i | 0.197119 | + | 0.0868400i | ||||
\(236\) | −1.59503 | + | 7.50404i | −0.103828 | + | 0.488471i | ||||
\(237\) | −12.4954 | + | 29.4373i | −0.811663 | + | 1.91216i | ||||
\(238\) | −1.75457 | + | 4.13350i | −0.113732 | + | 0.267935i | ||||
\(239\) | 4.25462 | − | 20.0164i | 0.275209 | − | 1.29475i | −0.595659 | − | 0.803237i | \(-0.703109\pi\) |
0.870868 | − | 0.491518i | \(-0.163558\pi\) | |||||||
\(240\) | 1.83656 | − | 2.05584i | 0.118549 | − | 0.132704i | ||||
\(241\) | −11.4780 | − | 8.96756i | −0.739360 | − | 0.577651i | 0.174028 | − | 0.984741i | \(-0.444322\pi\) |
−0.913388 | + | 0.407089i | \(0.866544\pi\) | |||||||
\(242\) | −0.0533822 | + | 3.05826i | −0.00343154 | + | 0.196593i | ||||
\(243\) | 12.6357 | − | 18.0457i | 0.810583 | − | 1.15763i | ||||
\(244\) | 0.788196 | − | 2.74877i | 0.0504591 | − | 0.175972i | ||||
\(245\) | 0.0671862 | + | 0.734795i | 0.00429237 | + | 0.0469444i | ||||
\(246\) | −2.45878 | − | 3.38422i | −0.156766 | − | 0.215770i | ||||
\(247\) | 5.32218 | + | 10.7774i | 0.338642 | + | 0.685748i | ||||
\(248\) | 14.3501 | + | 7.31174i | 0.911232 | + | 0.464296i | ||||
\(249\) | 10.2201 | + | 8.57569i | 0.647673 | + | 0.543462i | ||||
\(250\) | −5.67504 | − | 7.09046i | −0.358921 | − | 0.448440i | ||||
\(251\) | 0.140790 | + | 0.798463i | 0.00888662 | + | 0.0503985i | 0.988929 | − | 0.148392i | \(-0.0474098\pi\) |
−0.980042 | + | 0.198791i | \(0.936299\pi\) | |||||||
\(252\) | −10.7184 | − | 8.07688i | −0.675194 | − | 0.508795i | ||||
\(253\) | −8.02032 | + | 14.4690i | −0.504233 | + | 0.909660i | ||||
\(254\) | −3.88464 | + | 8.72503i | −0.243744 | + | 0.547457i | ||||
\(255\) | 11.4023 | − | 3.10312i | 0.714037 | − | 0.194325i | ||||
\(256\) | 14.4611 | − | 1.01122i | 0.903819 | − | 0.0632012i | ||||
\(257\) | 2.33443 | − | 26.6827i | 0.145618 | − | 1.66442i | −0.474758 | − | 0.880116i | \(-0.657464\pi\) |
0.620376 | − | 0.784305i | \(-0.286980\pi\) | |||||||
\(258\) | 4.15480 | − | 10.8236i | 0.258667 | − | 0.673850i | ||||
\(259\) | −9.72960 | + | 2.06809i | −0.604568 | + | 0.128505i | ||||
\(260\) | 8.25952 | + | 0.256055i | 0.512234 | + | 0.0158799i | ||||
\(261\) | 3.17844 | + | 22.6158i | 0.196741 | + | 1.39988i | ||||
\(262\) | −11.8360 | + | 8.91903i | −0.731228 | + | 0.551019i | ||||
\(263\) | 13.2773 | + | 12.3813i | 0.818713 | + | 0.763462i | 0.974514 | − | 0.224326i | \(-0.0720181\pi\) |
−0.155801 | + | 0.987788i | \(0.549796\pi\) | |||||||
\(264\) | 17.5130 | + | 7.07571i | 1.07785 | + | 0.435480i | ||||
\(265\) | 10.4115 | − | 7.62688i | 0.639576 | − | 0.468516i | ||||
\(266\) | 4.39398 | + | 8.51994i | 0.269412 | + | 0.522391i | ||||
\(267\) | 0.594128 | + | 3.75118i | 0.0363600 | + | 0.229568i | ||||
\(268\) | −0.673967 | − | 7.70347i | −0.0411691 | − | 0.470564i | ||||
\(269\) | −24.3537 | − | 6.98331i | −1.48487 | − | 0.425780i | −0.567354 | − | 0.823474i | \(-0.692033\pi\) |
−0.917518 | + | 0.397694i | \(0.869811\pi\) | |||||||
\(270\) | −0.0702057 | − | 3.28497i | −0.00427258 | − | 0.199917i | ||||
\(271\) | −3.78940 | − | 7.76943i | −0.230190 | − | 0.471959i | 0.752168 | − | 0.658972i | \(-0.229008\pi\) |
−0.982358 | + | 0.187013i | \(0.940119\pi\) | |||||||
\(272\) | −0.850632 | − | 0.471513i | −0.0515771 | − | 0.0285897i | ||||
\(273\) | −1.01129 | − | 19.2966i | −0.0612063 | − | 1.16788i | ||||
\(274\) | 6.62587 | − | 11.4763i | 0.400283 | − | 0.693311i | ||||
\(275\) | −7.03711 | + | 11.4605i | −0.424354 | + | 0.691092i | ||||
\(276\) | −13.7132 | − | 16.3428i | −0.825440 | − | 0.983721i | ||||
\(277\) | −10.4299 | − | 16.0607i | −0.626672 | − | 0.964991i | −0.999315 | − | 0.0370159i | \(-0.988215\pi\) |
0.372642 | − | 0.927975i | \(-0.378452\pi\) | |||||||
\(278\) | 2.64148 | + | 6.88130i | 0.158426 | + | 0.412713i | ||||
\(279\) | −21.1058 | + | 6.05199i | −1.26357 | + | 0.362323i | ||||
\(280\) | 16.4242 | + | 0.222365i | 0.981534 | + | 0.0132889i | ||||
\(281\) | 8.42442 | + | 4.10886i | 0.502559 | + | 0.245114i | 0.672170 | − | 0.740397i | \(-0.265362\pi\) |
−0.169611 | + | 0.985511i | \(0.554251\pi\) | |||||||
\(282\) | −2.81380 | − | 1.31210i | −0.167559 | − | 0.0781342i | ||||
\(283\) | −12.4361 | − | 7.47235i | −0.739248 | − | 0.444185i | 0.0950686 | − | 0.995471i | \(-0.469693\pi\) |
−0.834316 | + | 0.551286i | \(0.814137\pi\) | |||||||
\(284\) | 2.87465 | − | 8.84727i | 0.170579 | − | 0.524989i | ||||
\(285\) | 10.4591 | − | 22.9566i | 0.619544 | − | 1.35983i | ||||
\(286\) | 1.86179 | + | 5.73001i | 0.110090 | + | 0.338823i | ||||
\(287\) | −1.21176 | + | 5.24872i | −0.0715280 | + | 0.309822i | ||||
\(288\) | −14.6652 | + | 15.7265i | −0.864153 | + | 0.926691i | ||||
\(289\) | 6.02376 | + | 11.3290i | 0.354339 | + | 0.666414i | ||||
\(290\) | −7.82198 | − | 8.03669i | −0.459322 | − | 0.471930i | ||||
\(291\) | 17.0326 | − | 21.8007i | 0.998466 | − | 1.27798i | ||||
\(292\) | 13.2493 | − | 10.7291i | 0.775359 | − | 0.627873i | ||||
\(293\) | −17.9922 | + | 4.82099i | −1.05111 | + | 0.281645i | −0.742712 | − | 0.669611i | \(-0.766461\pi\) |
−0.308402 | + | 0.951256i | \(0.599794\pi\) | |||||||
\(294\) | −0.0483946 | − | 0.692075i | −0.00282243 | − | 0.0403626i | ||||
\(295\) | 11.8022 | + | 4.95531i | 0.687153 | + | 0.288509i | ||||
\(296\) | 1.04198 | + | 9.91382i | 0.0605641 | + | 0.576229i | ||||
\(297\) | −4.54235 | + | 1.74365i | −0.263574 | + | 0.101177i | ||||
\(298\) | −1.65249 | + | 1.54097i | −0.0957261 | + | 0.0892660i | ||||
\(299\) | 2.94516 | − | 16.7028i | 0.170323 | − | 0.965950i | ||||
\(300\) | −10.5455 | − | 13.7687i | −0.608844 | − | 0.794935i | ||||
\(301\) | −14.0293 | + | 5.10624i | −0.808634 | + | 0.294319i | ||||
\(302\) | 7.18788 | − | 3.05107i | 0.413616 | − | 0.175570i | ||||
\(303\) | 24.2739 | + | 3.84461i | 1.39450 | + | 0.220867i | ||||
\(304\) | −1.93467 | + | 0.753575i | −0.110961 | + | 0.0432205i | ||||
\(305\) | −4.25961 | − | 2.14941i | −0.243904 | − | 0.123075i | ||||
\(306\) | −5.95276 | + | 1.48419i | −0.340297 | + | 0.0848455i | ||||
\(307\) | 13.0151 | − | 27.9110i | 0.742812 | − | 1.59297i | −0.0610384 | − | 0.998135i | \(-0.519441\pi\) |
0.803851 | − | 0.594831i | \(-0.202781\pi\) | |||||||
\(308\) | −3.17726 | − | 9.22744i | −0.181041 | − | 0.525782i | ||||
\(309\) | −21.7221 | + | 40.8533i | −1.23573 | + | 2.32406i | ||||
\(310\) | 6.60464 | − | 8.52212i | 0.375118 | − | 0.484024i | ||||
\(311\) | −19.0696 | + | 21.1789i | −1.08134 | + | 1.20095i | −0.102837 | + | 0.994698i | \(0.532792\pi\) |
−0.978500 | + | 0.206248i | \(0.933875\pi\) | |||||||
\(312\) | −19.3383 | − | 1.01348i | −1.09481 | − | 0.0573768i | ||||
\(313\) | −5.77807 | − | 2.45264i | −0.326596 | − | 0.138632i | 0.221236 | − | 0.975220i | \(-0.428991\pi\) |
−0.547831 | + | 0.836589i | \(0.684547\pi\) | |||||||
\(314\) | 7.36539 | + | 4.60240i | 0.415653 | + | 0.259729i | ||||
\(315\) | −16.5824 | + | 15.0488i | −0.934311 | + | 0.847905i | ||||
\(316\) | −3.44274 | − | 16.1968i | −0.193669 | − | 0.911142i | ||||
\(317\) | −2.13496 | − | 0.414994i | −0.119911 | − | 0.0233084i | 0.130497 | − | 0.991449i | \(-0.458343\pi\) |
−0.250408 | + | 0.968140i | \(0.580565\pi\) | |||||||
\(318\) | −9.94032 | + | 6.96029i | −0.557425 | + | 0.390313i | ||||
\(319\) | −7.28001 | + | 14.9262i | −0.407603 | + | 0.835709i | ||||
\(320\) | 0.994488 | − | 8.37026i | 0.0555936 | − | 0.467912i | ||||
\(321\) | 38.7504 | + | 2.70969i | 2.16283 | + | 0.151240i | ||||
\(322\) | 2.11602 | − | 13.3600i | 0.117921 | − | 0.744526i | ||||
\(323\) | −8.71462 | − | 1.80765i | −0.484894 | − | 0.100580i | ||||
\(324\) | 8.59681i | 0.477601i | ||||||||
\(325\) | 2.99628 | − | 13.4582i | 0.166204 | − | 0.746529i | ||||
\(326\) | 6.27027 | + | 17.2274i | 0.347278 | + | 0.954139i | ||||
\(327\) | 3.41529 | + | 1.04416i | 0.188866 | + | 0.0577422i | ||||
\(328\) | 5.10429 | + | 1.75755i | 0.281837 | + | 0.0970444i | ||||
\(329\) | 1.10201 | + | 3.84315i | 0.0607556 | + | 0.211880i | ||||
\(330\) | 6.84530 | − | 10.6317i | 0.376821 | − | 0.585257i | ||||
\(331\) | −0.605736 | − | 1.36050i | −0.0332942 | − | 0.0747801i | 0.896133 | − | 0.443786i | \(-0.146365\pi\) |
−0.929427 | + | 0.369006i | \(0.879698\pi\) | |||||||
\(332\) | −6.88175 | − | 0.602075i | −0.377685 | − | 0.0330431i | ||||
\(333\) | −10.2563 | − | 8.91571i | −0.562044 | − | 0.488578i | ||||
\(334\) | −1.80355 | + | 1.62392i | −0.0986859 | + | 0.0888572i | ||||
\(335\) | −12.8370 | − | 1.29842i | −0.701358 | − | 0.0709405i | ||||
\(336\) | 3.33574 | + | 0.116487i | 0.181980 | + | 0.00635486i | ||||
\(337\) | 20.6010 | − | 6.29836i | 1.12221 | − | 0.343094i | 0.324349 | − | 0.945937i | \(-0.394855\pi\) |
0.797859 | + | 0.602844i | \(0.205966\pi\) | |||||||
\(338\) | 2.63785 | + | 3.50054i | 0.143480 | + | 0.190404i | ||||
\(339\) | −31.0184 | + | 24.2343i | −1.68469 | + | 1.31622i | ||||
\(340\) | −3.91464 | + | 4.70256i | −0.212301 | + | 0.255032i | ||||
\(341\) | −15.1844 | − | 4.93371i | −0.822281 | − | 0.267175i | ||||
\(342\) | −5.68345 | + | 11.7996i | −0.307326 | + | 0.638047i | ||||
\(343\) | 12.7692 | − | 12.7692i | 0.689472 | − | 0.689472i | ||||
\(344\) | 3.61960 | + | 14.5174i | 0.195156 | + | 0.782727i | ||||
\(345\) | −31.0653 | + | 17.3791i | −1.67250 | + | 0.935659i | ||||
\(346\) | 0.0240760 | + | 0.0232500i | 0.00129434 | + | 0.00124993i | ||||
\(347\) | 3.96926 | − | 11.5276i | 0.213081 | − | 0.618833i | −0.786917 | − | 0.617059i | \(-0.788324\pi\) |
0.999998 | − | 0.00177416i | \(-0.000564732\pi\) | |||||||
\(348\) | −14.6058 | − | 15.6628i | −0.782954 | − | 0.839615i | ||||
\(349\) | 17.2582 | − | 9.96401i | 0.923808 | − | 0.533361i | 0.0389603 | − | 0.999241i | \(-0.487595\pi\) |
0.884848 | + | 0.465880i | \(0.154262\pi\) | |||||||
\(350\) | 2.20194 | − | 10.7735i | 0.117699 | − | 0.575866i | ||||
\(351\) | 3.82122 | − | 3.20638i | 0.203961 | − | 0.171144i | ||||
\(352\) | −15.2356 | + | 3.51741i | −0.812059 | + | 0.187478i | ||||
\(353\) | −8.58260 | − | 6.95006i | −0.456806 | − | 0.369914i | 0.373124 | − | 0.927781i | \(-0.378287\pi\) |
−0.829930 | + | 0.557867i | \(0.811620\pi\) | |||||||
\(354\) | −10.9948 | − | 4.89522i | −0.584369 | − | 0.260178i | ||||
\(355\) | −13.6047 | − | 7.47175i | −0.722065 | − | 0.396559i | ||||
\(356\) | −1.36607 | − | 1.41460i | −0.0724014 | − | 0.0749738i | ||||
\(357\) | 11.7203 | + | 8.20662i | 0.620302 | + | 0.434340i | ||||
\(358\) | −12.1147 | + | 6.71527i | −0.640280 | + | 0.354913i | ||||
\(359\) | −12.0350 | − | 19.2600i | −0.635181 | − | 1.01650i | −0.996462 | − | 0.0840445i | \(-0.973216\pi\) |
0.361281 | − | 0.932457i | \(-0.382339\pi\) | |||||||
\(360\) | 13.2616 | + | 18.1035i | 0.698948 | + | 0.954141i | ||||
\(361\) | −14.8566 | + | 11.8441i | −0.781924 | + | 0.623374i | ||||
\(362\) | −8.01768 | + | 4.08521i | −0.421400 | + | 0.214714i | ||||
\(363\) | 9.49612 | + | 2.19235i | 0.498417 | + | 0.115069i | ||||
\(364\) | 6.15987 | + | 7.88428i | 0.322865 | + | 0.413249i | ||||
\(365\) | −13.4528 | − | 25.0639i | −0.704154 | − | 1.31190i | ||||
\(366\) | 3.96095 | + | 2.10607i | 0.207042 | + | 0.110086i | ||||
\(367\) | 3.07792 | − | 15.8345i | 0.160666 | − | 0.826555i | −0.810057 | − | 0.586352i | \(-0.800564\pi\) |
0.970723 | − | 0.240203i | \(-0.0772141\pi\) | |||||||
\(368\) | 2.82984 | + | 0.758254i | 0.147516 | + | 0.0395267i | ||||
\(369\) | −6.72329 | + | 2.99340i | −0.350000 | + | 0.155830i | ||||
\(370\) | 6.65020 | + | 0.555589i | 0.345727 | + | 0.0288837i | ||||
\(371\) | 15.1624 | + | 3.78041i | 0.787193 | + | 0.196269i | ||||
\(372\) | 12.9573 | − | 16.0010i | 0.671806 | − | 0.829611i | ||||
\(373\) | −16.7024 | + | 0.875336i | −0.864817 | + | 0.0453232i | −0.479584 | − | 0.877496i | \(-0.659212\pi\) |
−0.385233 | + | 0.922819i | \(0.625879\pi\) | |||||||
\(374\) | −4.19209 | − | 1.52580i | −0.216768 | − | 0.0788971i | ||||
\(375\) | −25.8578 | + | 12.9899i | −1.33529 | + | 0.670794i | ||||
\(376\) | 3.94579 | − | 0.695749i | 0.203488 | − | 0.0358805i | ||||
\(377\) | 2.07493 | − | 16.8989i | 0.106864 | − | 0.870340i | ||||
\(378\) | 3.00245 | − | 2.60999i | 0.154430 | − | 0.134244i | ||||
\(379\) | 18.0745 | − | 13.1319i | 0.928426 | − | 0.674541i | −0.0171811 | − | 0.999852i | \(-0.505469\pi\) |
0.945607 | + | 0.325312i | \(0.105469\pi\) | |||||||
\(380\) | 2.38170 | + | 12.8432i | 0.122179 | + | 0.658845i | ||||
\(381\) | 24.6193 | + | 17.8870i | 1.26129 | + | 0.916377i | ||||
\(382\) | 10.1123 | − | 0.884712i | 0.517391 | − | 0.0452658i | ||||
\(383\) | 13.6270 | + | 24.5838i | 0.696307 | + | 1.25617i | 0.956814 | + | 0.290700i | \(0.0938880\pi\) |
−0.260507 | + | 0.965472i | \(0.583890\pi\) | |||||||
\(384\) | 3.08510 | − | 21.9516i | 0.157436 | − | 1.12021i | ||||
\(385\) | −16.1158 | + | 2.32931i | −0.821337 | + | 0.118712i | ||||
\(386\) | 0.514464 | − | 14.7323i | 0.0261856 | − | 0.749856i | ||||
\(387\) | −17.1066 | − | 11.1091i | −0.869577 | − | 0.564710i | ||||
\(388\) | −0.749706 | + | 14.3052i | −0.0380605 | + | 0.726238i | ||||
\(389\) | −8.40271 | + | 13.4471i | −0.426034 | + | 0.681797i | −0.989531 | − | 0.144321i | \(-0.953900\pi\) |
0.563497 | + | 0.826118i | \(0.309456\pi\) | |||||||
\(390\) | −3.08695 | + | 12.5909i | −0.156314 | + | 0.637564i | ||||
\(391\) | 8.40322 | + | 9.33272i | 0.424969 | + | 0.471976i | ||||
\(392\) | 0.563441 | + | 0.695792i | 0.0284581 | + | 0.0351428i | ||||
\(393\) | 19.9565 | + | 42.7968i | 1.00667 | + | 2.15881i | ||||
\(394\) | 5.70126 | − | 5.50565i | 0.287226 | − | 0.277370i | ||||
\(395\) | −27.6220 | + | 0.590333i | −1.38982 | + | 0.0297029i | ||||
\(396\) | 7.45582 | − | 11.0537i | 0.374669 | − | 0.555470i | ||||
\(397\) | 5.59522 | + | 6.43656i | 0.280816 | + | 0.323042i | 0.877631 | − | 0.479337i | \(-0.159123\pi\) |
−0.596815 | + | 0.802379i | \(0.703567\pi\) | |||||||
\(398\) | −9.93605 | + | 19.5006i | −0.498049 | + | 0.977476i | ||||
\(399\) | 29.4643 | − | 8.05029i | 1.47506 | − | 0.403019i | ||||
\(400\) | 2.27075 | + | 0.718203i | 0.113538 | + | 0.0359102i | ||||
\(401\) | 16.2799 | − | 19.4017i | 0.812981 | − | 0.968874i | −0.186927 | − | 0.982374i | \(-0.559853\pi\) |
0.999909 | + | 0.0135002i | \(0.00429737\pi\) | |||||||
\(402\) | 12.0410 | + | 1.47844i | 0.600549 | + | 0.0737381i | ||||
\(403\) | 16.3660 | − | 0.285670i | 0.815250 | − | 0.0142302i | ||||
\(404\) | −11.4376 | + | 5.57847i | −0.569039 | + | 0.277539i | ||||
\(405\) | 14.0910 | + | 2.68180i | 0.700186 | + | 0.133260i | ||||
\(406\) | 1.41936 | − | 13.5043i | 0.0704416 | − | 0.670207i | ||||
\(407\) | −2.55764 | − | 9.54526i | −0.126778 | − | 0.473141i | ||||
\(408\) | 9.40702 | − | 10.8215i | 0.465717 | − | 0.535746i | ||||
\(409\) | 6.30481 | + | 15.6050i | 0.311753 | + | 0.771616i | 0.998979 | + | 0.0451722i | \(0.0143836\pi\) |
−0.687226 | + | 0.726443i | \(0.741172\pi\) | |||||||
\(410\) | 1.79471 | − | 3.13683i | 0.0886346 | − | 0.154917i | ||||
\(411\) | −31.3782 | − | 28.2530i | −1.54777 | − | 1.39362i | ||||
\(412\) | −2.91971 | − | 23.7791i | −0.143844 | − | 1.17151i | ||||
\(413\) | 4.53130 | + | 14.8212i | 0.222971 | + | 0.729304i | ||||
\(414\) | 16.3172 | − | 8.67600i | 0.801946 | − | 0.426402i | ||||
\(415\) | −3.13363 | + | 11.0920i | −0.153824 | + | 0.544485i | ||||
\(416\) | 13.5948 | − | 8.49499i | 0.666541 | − | 0.416501i | ||||
\(417\) | 23.1963 | − | 3.67394i | 1.13593 | − | 0.179914i | ||||
\(418\) | −8.22422 | + | 4.80228i | −0.402260 | + | 0.234887i | ||||
\(419\) | −14.2677 | + | 19.6377i | −0.697020 | + | 0.959366i | 0.302959 | + | 0.953003i | \(0.402025\pi\) |
−0.999980 | + | 0.00636277i | \(0.997975\pi\) | |||||||
\(420\) | 4.64355 | − | 20.4789i | 0.226582 | − | 0.999268i | ||||
\(421\) | −0.832551 | − | 0.561563i | −0.0405761 | − | 0.0273689i | 0.538737 | − | 0.842474i | \(-0.318902\pi\) |
−0.579313 | + | 0.815105i | \(0.696679\pi\) | |||||||
\(422\) | −0.339691 | − | 19.4609i | −0.0165359 | − | 0.947340i | ||||
\(423\) | −3.28724 | + | 4.36232i | −0.159831 | + | 0.212103i | ||||
\(424\) | 5.35614 | − | 14.7159i | 0.260117 | − | 0.714666i | ||||
\(425\) | 6.48675 | + | 7.88344i | 0.314654 | + | 0.382403i | ||||
\(426\) | 12.6387 | + | 7.29694i | 0.612346 | + | 0.353538i | ||||
\(427\) | −1.29951 | − | 5.62881i | −0.0628879 | − | 0.272397i | ||||
\(428\) | −17.2406 | + | 10.3592i | −0.833358 | + | 0.500732i | ||||
\(429\) | 19.0917 | − | 2.00662i | 0.921756 | − | 0.0968805i | ||||
\(430\) | 10.0004 | − | 0.563367i | 0.482261 | − | 0.0271680i | ||||
\(431\) | −30.7647 | + | 20.7511i | −1.48188 | + | 0.999543i | −0.490093 | + | 0.871670i | \(0.663037\pi\) |
−0.991791 | + | 0.127873i | \(0.959185\pi\) | |||||||
\(432\) | 0.494218 | + | 0.705817i | 0.0237781 | + | 0.0339586i | ||||
\(433\) | 9.72472 | − | 3.34849i | 0.467340 | − | 0.160918i | −0.0817994 | − | 0.996649i | \(-0.526067\pi\) |
0.549139 | + | 0.835731i | \(0.314956\pi\) | |||||||
\(434\) | 13.0465 | − | 0.455594i | 0.626252 | − | 0.0218692i | ||||
\(435\) | −30.2291 | + | 19.0542i | −1.44938 | + | 0.913581i | ||||
\(436\) | −1.75870 | + | 0.571435i | −0.0842263 | + | 0.0273668i | ||||
\(437\) | 26.7885 | − | 1.06726i | 1.28147 | − | 0.0510539i | ||||
\(438\) | 12.1425 | + | 23.8309i | 0.580189 | + | 1.13869i | ||||
\(439\) | −11.2112 | + | 27.7487i | −0.535081 | + | 1.32437i | 0.381443 | + | 0.924393i | \(0.375427\pi\) |
−0.916524 | + | 0.399980i | \(0.869017\pi\) | |||||||
\(440\) | 0.633351 | + | 16.3061i | 0.0301938 | + | 0.777363i | ||||
\(441\) | −1.20869 | − | 0.169871i | −0.0575568 | − | 0.00808908i | ||||
\(442\) | 4.57296 | + | 0.0798213i | 0.217514 | + | 0.00379671i | ||||
\(443\) | 28.6934 | − | 13.3799i | 1.36326 | − | 0.635700i | 0.403105 | − | 0.915154i | \(-0.367931\pi\) |
0.960159 | + | 0.279453i | \(0.0901532\pi\) | |||||||
\(444\) | 12.6739 | + | 1.33208i | 0.601477 | + | 0.0632178i | ||||
\(445\) | −2.74481 | + | 1.79782i | −0.130117 | + | 0.0852249i | ||||
\(446\) | 5.28363 | − | 21.1915i | 0.250187 | − | 1.00345i | ||||
\(447\) | 3.70793 | + | 6.17103i | 0.175379 | + | 0.291880i | ||||
\(448\) | 8.55934 | − | 5.55850i | 0.404391 | − | 0.262615i | ||||
\(449\) | −10.0635 | − | 17.4304i | −0.474924 | − | 0.822592i | 0.524664 | − | 0.851309i | \(-0.324191\pi\) |
−0.999588 | + | 0.0287175i | \(0.990858\pi\) | |||||||
\(450\) | 13.5656 | − | 6.45554i | 0.639488 | − | 0.304317i | ||||
\(451\) | −5.27028 | − | 0.929293i | −0.248168 | − | 0.0437587i | ||||
\(452\) | 5.95904 | − | 19.4911i | 0.280289 | − | 0.916785i | ||||
\(453\) | −4.74739 | − | 24.4232i | −0.223052 | − | 1.14750i | ||||
\(454\) | −0.466696 | + | 6.67406i | −0.0219031 | + | 0.313229i | ||||
\(455\) | 14.8447 | − | 7.63709i | 0.695928 | − | 0.358032i | ||||
\(456\) | −4.93696 | − | 30.2095i | −0.231194 | − | 1.41469i | ||||
\(457\) | −8.83834 | − | 8.83834i | −0.413440 | − | 0.413440i | 0.469495 | − | 0.882935i | \(-0.344436\pi\) |
−0.882935 | + | 0.469495i | \(0.844436\pi\) | |||||||
\(458\) | 6.71259 | − | 11.1716i | 0.313659 | − | 0.522016i | ||||
\(459\) | 0.128903 | + | 3.69130i | 0.00601667 | + | 0.172295i | ||||
\(460\) | 8.01482 | − | 16.5974i | 0.373693 | − | 0.773859i | ||||
\(461\) | 41.1702 | − | 5.78610i | 1.91749 | − | 0.269485i | 0.923908 | − | 0.382614i | \(-0.124976\pi\) |
0.993580 | + | 0.113129i | \(0.0360872\pi\) | |||||||
\(462\) | 15.1960 | − | 1.86584i | 0.706983 | − | 0.0868066i | ||||
\(463\) | −9.21654 | + | 14.1922i | −0.428329 | + | 0.659569i | −0.985274 | − | 0.170980i | \(-0.945307\pi\) |
0.556945 | + | 0.830549i | \(0.311973\pi\) | |||||||
\(464\) | 2.87669 | + | 0.611459i | 0.133547 | + | 0.0283863i | ||||
\(465\) | −22.1850 | − | 26.2298i | −1.02880 | − | 1.21638i | ||||
\(466\) | −14.7810 | + | 5.97190i | −0.684715 | + | 0.276643i | ||||
\(467\) | 38.3664 | + | 14.7275i | 1.77539 | + | 0.681507i | 0.998664 | + | 0.0516650i | \(0.0164528\pi\) |
0.776723 | + | 0.629842i | \(0.216881\pi\) | |||||||
\(468\) | −3.53792 | + | 13.2037i | −0.163541 | + | 0.610342i | ||||
\(469\) | −8.73575 | − | 12.9513i | −0.403380 | − | 0.598035i | ||||
\(470\) | 0.0363114 | − | 2.68201i | 0.00167492 | − | 0.123712i | ||||
\(471\) | 19.2233 | − | 19.9063i | 0.885762 | − | 0.917233i | ||||
\(472\) | 15.2465 | − | 2.96362i | 0.701777 | − | 0.136412i | ||||
\(473\) | −5.79537 | − | 13.6530i | −0.266471 | − | 0.627767i | ||||
\(474\) | 25.9772 | 1.19317 | ||||||||
\(475\) | 21.7943 | + | 0.102655i | 0.999989 | + | 0.00471015i | ||||
\(476\) | −7.40842 | −0.339564 | ||||||||
\(477\) | 8.34189 | + | 19.6523i | 0.381949 | + | 0.899815i | ||||
\(478\) | −16.3174 | + | 3.17177i | −0.746338 | + | 0.145073i | ||||
\(479\) | 19.3937 | − | 20.0828i | 0.886121 | − | 0.917605i | −0.110970 | − | 0.993824i | \(-0.535396\pi\) |
0.997091 | + | 0.0762188i | \(0.0242847\pi\) | |||||||
\(480\) | −31.8544 | − | 10.8290i | −1.45395 | − | 0.494275i | ||||
\(481\) | 5.66532 | + | 8.39918i | 0.258316 | + | 0.382969i | ||||
\(482\) | −3.06231 | + | 11.4287i | −0.139485 | + | 0.520563i | ||||
\(483\) | −40.2365 | − | 15.4454i | −1.83083 | − | 0.702788i | ||||
\(484\) | −4.67887 | + | 1.89039i | −0.212676 | + | 0.0859267i | ||||
\(485\) | 23.2137 | + | 5.69139i | 1.05408 | + | 0.258433i | ||||
\(486\) | −17.5039 | − | 3.72057i | −0.793993 | − | 0.168768i | ||||
\(487\) | 11.2244 | − | 17.2840i | 0.508625 | − | 0.783213i | −0.487316 | − | 0.873226i | \(-0.662024\pi\) |
0.995941 | + | 0.0900123i | \(0.0286907\pi\) | |||||||
\(488\) | −5.74619 | + | 0.705543i | −0.260118 | + | 0.0319384i | ||||
\(489\) | 57.8454 | − | 8.12963i | 2.61586 | − | 0.367635i | ||||
\(490\) | 0.528107 | − | 0.283457i | 0.0238574 | − | 0.0128053i | ||||
\(491\) | −0.0638065 | − | 1.82718i | −0.00287955 | − | 0.0824594i | −0.999980 | − | 0.00635991i | \(-0.997976\pi\) |
0.997100 | − | 0.0760995i | \(-0.0242467\pi\) | |||||||
\(492\) | 3.55446 | − | 5.91562i | 0.160248 | − | 0.266697i | ||||
\(493\) | 8.91435 | + | 8.91435i | 0.401482 | + | 0.401482i | ||||
\(494\) | 6.36939 | − | 7.40025i | 0.286572 | − | 0.332953i | ||||
\(495\) | −15.7922 | − | 15.6690i | −0.709806 | − | 0.704270i | ||||
\(496\) | −0.197230 | + | 2.82053i | −0.00885591 | + | 0.126645i | ||||
\(497\) | −3.58590 | − | 18.4478i | −0.160850 | − | 0.827499i | ||||
\(498\) | 3.16853 | − | 10.3638i | 0.141985 | − | 0.464413i | ||||
\(499\) | 36.8085 | + | 6.49034i | 1.64778 | + | 0.290547i | 0.919016 | − | 0.394221i | \(-0.128985\pi\) |
0.728761 | + | 0.684768i | \(0.240097\pi\) | |||||||
\(500\) | 7.10967 | − | 13.1892i | 0.317954 | − | 0.589838i | ||||
\(501\) | 3.86639 | + | 6.69679i | 0.172738 | + | 0.299191i | ||||
\(502\) | 0.552351 | − | 0.358701i | 0.0246527 | − | 0.0160096i | ||||
\(503\) | 5.89077 | + | 9.80389i | 0.262657 | + | 0.437134i | 0.960161 | − | 0.279446i | \(-0.0901509\pi\) |
−0.697505 | + | 0.716580i | \(0.745706\pi\) | |||||||
\(504\) | −6.57337 | + | 26.3644i | −0.292801 | + | 1.17436i | ||||
\(505\) | 5.57565 | + | 20.4874i | 0.248113 | + | 0.911679i | ||||
\(506\) | 13.3646 | + | 1.40468i | 0.594129 | + | 0.0624454i | ||||
\(507\) | 12.6574 | − | 5.90222i | 0.562133 | − | 0.262127i | ||||
\(508\) | −15.7545 | − | 0.274996i | −0.698993 | − | 0.0122010i | ||||
\(509\) | 8.53761 | + | 1.19988i | 0.378423 | + | 0.0531839i | 0.325821 | − | 0.945432i | \(-0.394359\pi\) |
0.0526025 | + | 0.998616i | \(0.483248\pi\) | |||||||
\(510\) | −5.93932 | − | 7.54094i | −0.262998 | − | 0.333919i | ||||
\(511\) | 12.9022 | − | 31.9341i | 0.570759 | − | 1.41268i | ||||
\(512\) | 2.43059 | + | 4.77030i | 0.107418 | + | 0.210819i | ||||
\(513\) | 6.23723 | + | 4.82390i | 0.275380 | + | 0.212980i | ||||
\(514\) | −20.6925 | + | 6.72340i | −0.912707 | + | 0.296556i | ||||
\(515\) | −39.8870 | − | 2.63228i | −1.75763 | − | 0.115992i | ||||
\(516\) | 19.1157 | − | 0.667535i | 0.841522 | − | 0.0293866i | ||||
\(517\) | −3.75552 | + | 1.29313i | −0.165167 | + | 0.0568717i | ||||
\(518\) | 4.63450 | + | 6.61875i | 0.203628 | + | 0.290811i | ||||
\(519\) | 0.0884110 | − | 0.0596340i | 0.00388081 | − | 0.00261764i | ||||
\(520\) | −6.05660 | − | 15.5952i | −0.265600 | − | 0.683895i | ||||
\(521\) | −32.7369 | + | 3.44078i | −1.43423 | + | 0.150743i | −0.789538 | − | 0.613701i | \(-0.789680\pi\) |
−0.644690 | + | 0.764445i | \(0.723013\pi\) | |||||||
\(522\) | 15.9018 | − | 9.55476i | 0.696002 | − | 0.418200i | ||||
\(523\) | 3.40896 | + | 14.7658i | 0.149063 | + | 0.645665i | 0.993866 | + | 0.110587i | \(0.0352732\pi\) |
−0.844803 | + | 0.535078i | \(0.820282\pi\) | |||||||
\(524\) | −21.1748 | − | 12.2253i | −0.925025 | − | 0.534064i | ||||
\(525\) | −32.1183 | − | 13.9997i | −1.40176 | − | 0.610995i | ||||
\(526\) | 5.04376 | − | 13.8576i | 0.219919 | − | 0.604221i | ||||
\(527\) | −7.29405 | + | 9.67953i | −0.317734 | + | 0.421647i | ||||
\(528\) | 0.0578716 | + | 3.31546i | 0.00251854 | + | 0.144287i | ||||
\(529\) | −12.2942 | − | 8.29256i | −0.534532 | − | 0.360546i | ||||
\(530\) | −9.00744 | − | 5.36433i | −0.391258 | − | 0.233012i | ||||
\(531\) | −12.4460 | + | 17.1304i | −0.540109 | + | 0.743396i | ||||
\(532\) | −10.1064 | + | 12.1652i | −0.438167 | + | 0.527427i | ||||
\(533\) | 5.41902 | − | 0.858289i | 0.234724 | − | 0.0371766i | ||||
\(534\) | 2.61631 | − | 1.63485i | 0.113219 | − | 0.0707469i | ||||
\(535\) | 11.6015 | + | 31.4906i | 0.501575 | + | 1.36146i | ||||
\(536\) | −13.8232 | + | 7.34995i | −0.597073 | + | 0.317469i | ||||
\(537\) | 12.9035 | + | 42.2055i | 0.556828 | + | 1.82130i | ||||
\(538\) | 2.50807 | + | 20.4266i | 0.108130 | + | 0.880652i | ||||
\(539\) | −0.659580 | − | 0.593889i | −0.0284101 | − | 0.0255806i | ||||
\(540\) | 4.94349 | − | 2.22421i | 0.212734 | − | 0.0957149i | ||||
\(541\) | −4.36051 | − | 10.7926i | −0.187473 | − | 0.464012i | 0.803951 | − | 0.594695i | \(-0.202727\pi\) |
−0.991424 | + | 0.130684i | \(0.958283\pi\) | |||||||
\(542\) | −4.60673 | + | 5.29944i | −0.197876 | + | 0.227630i | ||||
\(543\) | 7.42071 | + | 27.6945i | 0.318453 | + | 1.18848i | ||||
\(544\) | −1.24075 | + | 11.8049i | −0.0531966 | + | 0.506132i | ||||
\(545\) | 0.388006 | + | 3.06093i | 0.0166203 | + | 0.131116i | ||||
\(546\) | −14.1078 | + | 6.88082i | −0.603757 | + | 0.294472i | ||||
\(547\) | −0.931764 | + | 0.0162640i | −0.0398393 | + | 0.000695398i | −0.0373686 | − | 0.999302i | \(-0.511898\pi\) |
−0.00247072 | + | 0.999997i | \(0.500786\pi\) | |||||||
\(548\) | 21.6999 | + | 2.66441i | 0.926973 | + | 0.113818i | ||||
\(549\) | 5.07321 | − | 6.04601i | 0.216519 | − | 0.258038i | ||||
\(550\) | 10.8029 | + | 1.62440i | 0.460638 | + | 0.0692648i | ||||
\(551\) | 26.7987 | − | 2.47730i | 1.14166 | − | 0.105537i | ||||
\(552\) | −19.6088 | + | 38.4845i | −0.834608 | + | 1.63801i | ||||
\(553\) | −21.9465 | − | 25.2465i | −0.933258 | − | 1.07359i | ||||
\(554\) | −8.69870 | + | 12.8964i | −0.369572 | + | 0.547914i | ||||
\(555\) | 6.13706 | − | 20.3582i | 0.260504 | − | 0.864156i | ||||
\(556\) | −8.74755 | + | 8.44741i | −0.370979 | + | 0.358250i | ||||
\(557\) | 8.87732 | + | 19.0375i | 0.376144 | + | 0.806644i | 0.999691 | + | 0.0248578i | \(0.00791328\pi\) |
−0.623547 | + | 0.781786i | \(0.714309\pi\) | |||||||
\(558\) | 11.2241 | + | 13.8607i | 0.475156 | + | 0.586768i | ||||
\(559\) | 10.1750 | + | 11.3004i | 0.430355 | + | 0.477957i | ||||
\(560\) | 1.09069 | + | 2.66941i | 0.0460899 | + | 0.112803i | ||||
\(561\) | −7.53244 | + | 12.0544i | −0.318020 | + | 0.508939i | ||||
\(562\) | 0.398475 | − | 7.60335i | 0.0168086 | − | 0.320728i | ||||
\(563\) | 12.1793 | + | 7.90933i | 0.513296 | + | 0.333338i | 0.775159 | − | 0.631767i | \(-0.217670\pi\) |
−0.261862 | + | 0.965105i | \(0.584337\pi\) | |||||||
\(564\) | 0.178760 | − | 5.11902i | 0.00752716 | − | 0.215550i | ||||
\(565\) | −30.0888 | − | 15.8477i | −1.26585 | − | 0.666719i | ||||
\(566\) | −1.64019 | + | 11.6706i | −0.0689423 | + | 0.490550i | ||||
\(567\) | 8.41986 | + | 15.1898i | 0.353601 | + | 0.637913i | ||||
\(568\) | −18.7620 | + | 1.64146i | −0.787237 | + | 0.0688743i | ||||
\(569\) | −19.2830 | − | 14.0099i | −0.808383 | − | 0.587325i | 0.104978 | − | 0.994475i | \(-0.466523\pi\) |
−0.913361 | + | 0.407150i | \(0.866523\pi\) | |||||||
\(570\) | −20.4851 | − | 0.534345i | −0.858025 | − | 0.0223813i | ||||
\(571\) | −29.4219 | + | 21.3762i | −1.23127 | + | 0.894568i | −0.996984 | − | 0.0776011i | \(-0.975274\pi\) |
−0.234282 | + | 0.972169i | \(0.575274\pi\) | |||||||
\(572\) | −7.50176 | + | 6.52118i | −0.313664 | + | 0.272664i | ||||
\(573\) | 3.94168 | − | 32.1024i | 0.164666 | − | 1.34110i | ||||
\(574\) | 4.30925 | − | 0.759837i | 0.179865 | − | 0.0317150i | ||||
\(575\) | −24.7045 | − | 18.3146i | −1.03025 | − | 0.763773i | ||||
\(576\) | 13.1026 | + | 4.76896i | 0.545942 | + | 0.198706i | ||||
\(577\) | 11.9911 | − | 0.628427i | 0.499196 | − | 0.0261618i | 0.198923 | − | 0.980015i | \(-0.436256\pi\) |
0.300273 | + | 0.953853i | \(0.402922\pi\) | |||||||
\(578\) | 6.55920 | − | 8.09994i | 0.272827 | − | 0.336913i | ||||
\(579\) | −45.5744 | − | 11.3630i | −1.89401 | − | 0.472230i | ||||
\(580\) | 7.16268 | − | 17.0596i | 0.297414 | − | 0.708362i | ||||
\(581\) | −12.7491 | + | 5.67628i | −0.528924 | + | 0.235492i | ||||
\(582\) | −21.7071 | − | 5.81641i | −0.899790 | − | 0.241098i | ||||
\(583\) | −2.96221 | + | 15.2393i | −0.122682 | + | 0.631146i | ||||
\(584\) | −30.4761 | − | 16.2044i | −1.26111 | − | 0.670544i | ||||
\(585\) | 20.5385 | + | 9.91792i | 0.849161 | + | 0.410056i | ||||
\(586\) | 9.31543 | + | 11.9232i | 0.384817 | + | 0.492543i | ||||
\(587\) | −34.0443 | − | 7.85975i | −1.40516 | − | 0.324406i | −0.546717 | − | 0.837317i | \(-0.684123\pi\) |
−0.858442 | + | 0.512911i | \(0.828567\pi\) | |||||||
\(588\) | 1.01983 | − | 0.519629i | 0.0420570 | − | 0.0214291i | ||||
\(589\) | 5.94416 | + | 25.1819i | 0.244925 | + | 1.03760i | ||||
\(590\) | −0.0407100 | − | 10.3977i | −0.00167600 | − | 0.428068i | ||||
\(591\) | −13.3822 | − | 21.4160i | −0.550471 | − | 0.880937i | ||||
\(592\) | −1.53060 | + | 0.848425i | −0.0629072 | + | 0.0348701i | ||||
\(593\) | 20.1790 | + | 14.1295i | 0.828651 | + | 0.580228i | 0.909122 | − | 0.416529i | \(-0.136754\pi\) |
−0.0804713 | + | 0.996757i | \(0.525643\pi\) | |||||||
\(594\) | 2.74550 | + | 2.84305i | 0.112649 | + | 0.116652i | ||||
\(595\) | −2.31108 | + | 12.1431i | −0.0947449 | + | 0.497818i | ||||
\(596\) | −3.40546 | − | 1.51621i | −0.139493 | − | 0.0621062i | ||||
\(597\) | 54.1939 | + | 43.8854i | 2.21801 | + | 1.79611i | ||||
\(598\) | −13.4241 | + | 3.09919i | −0.548950 | + | 0.126735i | ||||
\(599\) | 14.4776 | − | 12.1482i | 0.591541 | − | 0.496362i | −0.297173 | − | 0.954824i | \(-0.596044\pi\) |
0.888714 | + | 0.458462i | \(0.151599\pi\) | |||||||
\(600\) | −17.3175 | + | 30.5447i | −0.706985 | + | 1.24698i | ||||
\(601\) | 34.0766 | − | 19.6741i | 1.39001 | − | 0.802525i | 0.396697 | − | 0.917949i | \(-0.370156\pi\) |
0.993316 | + | 0.115425i | \(0.0368229\pi\) | |||||||
\(602\) | 8.27092 | + | 8.86948i | 0.337098 | + | 0.361493i | ||||
\(603\) | 6.94869 | − | 20.1805i | 0.282973 | − | 0.821812i | ||||
\(604\) | 9.26707 | + | 8.94911i | 0.377072 | + | 0.364134i | ||||
\(605\) | 1.63893 | + | 8.25882i | 0.0666321 | + | 0.335769i | ||||
\(606\) | −4.82966 | − | 19.3707i | −0.196191 | − | 0.786881i | ||||
\(607\) | −29.8492 | + | 29.8492i | −1.21154 | + | 1.21154i | −0.241024 | + | 0.970519i | \(0.577483\pi\) |
−0.970519 | + | 0.241024i | \(0.922517\pi\) | |||||||
\(608\) | 17.6920 | + | 18.1414i | 0.717505 | + | 0.735730i | ||||
\(609\) | −41.1477 | − | 13.3697i | −1.66739 | − | 0.541767i | ||||
\(610\) | −0.255214 | + | 3.86726i | −0.0103333 | + | 0.156581i | ||||
\(611\) | 3.20886 | − | 2.50703i | 0.129816 | − | 0.101424i | ||||
\(612\) | −6.09132 | − | 8.08345i | −0.246227 | − | 0.326754i | ||||
\(613\) | −38.9621 | + | 11.9119i | −1.57366 | + | 0.481117i | −0.953003 | − | 0.302962i | \(-0.902025\pi\) |
−0.620661 | + | 0.784079i | \(0.713136\pi\) | |||||||
\(614\) | −25.0009 | − | 0.873052i | −1.00896 | − | 0.0352335i | ||||
\(615\) | −8.58743 | − | 7.67149i | −0.346279 | − | 0.309344i | ||||
\(616\) | −14.6831 | + | 13.2207i | −0.591598 | + | 0.532678i | ||||
\(617\) | 6.56558 | + | 5.70738i | 0.264320 | + | 0.229770i | 0.778082 | − | 0.628163i | \(-0.216193\pi\) |
−0.513761 | + | 0.857933i | \(0.671748\pi\) | |||||||
\(618\) | 37.4419 | + | 3.27574i | 1.50613 | + | 0.131770i | ||||
\(619\) | 12.4584 | + | 27.9820i | 0.500746 | + | 1.12469i | 0.970325 | + | 0.241803i | \(0.0777387\pi\) |
−0.469580 | + | 0.882890i | \(0.655595\pi\) | |||||||
\(620\) | 17.1997 | + | 4.53656i | 0.690758 | + | 0.182193i | ||||
\(621\) | −3.06675 | − | 10.6950i | −0.123064 | − | 0.429176i | ||||
\(622\) | 21.8888 | + | 7.53691i | 0.877660 | + | 0.302202i | ||||
\(623\) | −3.79921 | − | 1.16153i | −0.152212 | − | 0.0465359i | ||||
\(624\) | −1.16273 | − | 3.19459i | −0.0465466 | − | 0.127886i | ||||
\(625\) | −19.4004 | − | 15.7678i | −0.776017 | − | 0.630712i | ||||
\(626\) | 5.09891i | 0.203794i | ||||||||
\(627\) | 9.51871 | + | 28.8132i | 0.380141 | + | 1.15069i | ||||
\(628\) | −2.24151 | + | 14.1524i | −0.0894461 | + | 0.564741i | ||||
\(629\) | −7.48340 | − | 0.523290i | −0.298383 | − | 0.0208650i | ||||
\(630\) | 16.5157 | + | 7.62280i | 0.658000 | + | 0.303700i | ||||
\(631\) | 12.7568 | − | 26.1553i | 0.507841 | − | 1.04123i | −0.478740 | − | 0.877956i | \(-0.658907\pi\) |
0.986581 | − | 0.163271i | \(-0.0522046\pi\) | |||||||
\(632\) | −27.4614 | + | 19.2287i | −1.09235 | + | 0.764875i | ||||
\(633\) | −60.8774 | − | 11.8334i | −2.41966 | − | 0.470334i | ||||
\(634\) | 0.367318 | + | 1.72810i | 0.0145881 | + | 0.0686315i | ||||
\(635\) | −5.36540 | + | 25.7373i | −0.212919 | + | 1.02135i | ||||
\(636\) | −16.9781 | − | 10.6091i | −0.673227 | − | 0.420679i | ||||
\(637\) | 0.837604 | + | 0.355542i | 0.0331871 | + | 0.0140871i | ||||
\(638\) | 13.4715 | + | 0.706011i | 0.533341 | + | 0.0279512i | ||||
\(639\) | 17.1804 | − | 19.0807i | 0.679645 | − | 0.754822i | ||||
\(640\) | 18.3885 | − | 5.35083i | 0.726871 | − | 0.211510i | ||||
\(641\) | −2.60200 | + | 4.89365i | −0.102773 | + | 0.193288i | −0.929029 | − | 0.370007i | \(-0.879355\pi\) |
0.826256 | + | 0.563295i | \(0.190466\pi\) | |||||||
\(642\) | −10.2730 | − | 29.8350i | −0.405444 | − | 1.17749i | ||||
\(643\) | 5.51459 | − | 11.8261i | 0.217474 | − | 0.466375i | −0.767058 | − | 0.641578i | \(-0.778280\pi\) |
0.984532 | + | 0.175202i | \(0.0560580\pi\) | |||||||
\(644\) | 21.6534 | − | 5.39880i | 0.853263 | − | 0.212742i | ||||
\(645\) | 4.86904 | − | 31.5407i | 0.191718 | − | 1.24191i | ||||
\(646\) | 1.41433 | + | 7.08995i | 0.0556460 | + | 0.278951i | ||||
\(647\) | −17.0463 | − | 2.69986i | −0.670158 | − | 0.106143i | −0.187922 | − | 0.982184i | \(-0.560175\pi\) |
−0.482236 | + | 0.876041i | \(0.660175\pi\) | |||||||
\(648\) | 16.0212 | − | 6.80061i | 0.629374 | − | 0.267153i | ||||
\(649\) | −14.4686 | + | 5.26614i | −0.567942 | + | 0.206714i | ||||
\(650\) | −11.0142 | + | 2.03115i | −0.432012 | + | 0.0796683i | ||||
\(651\) | 7.22287 | − | 40.9630i | 0.283087 | − | 1.60546i | ||||
\(652\) | −22.1206 | + | 20.6278i | −0.866308 | + | 0.807845i | ||||
\(653\) | 20.2721 | − | 7.78172i | 0.793307 | − | 0.304522i | 0.0722401 | − | 0.997387i | \(-0.476985\pi\) |
0.721067 | + | 0.692865i | \(0.243652\pi\) | |||||||
\(654\) | −0.303241 | − | 2.88514i | −0.0118576 | − | 0.112818i | ||||
\(655\) | −26.6439 | + | 30.8938i | −1.04106 | + | 1.20712i | ||||
\(656\) | 0.0661097 | + | 0.945413i | 0.00258115 | + | 0.0369122i | ||||
\(657\) | 45.4521 | − | 12.1789i | 1.77326 | − | 0.475143i | ||||
\(658\) | 2.52389 | − | 2.04380i | 0.0983913 | − | 0.0796757i | ||||
\(659\) | 4.16291 | − | 5.32828i | 0.162164 | − | 0.207560i | −0.700065 | − | 0.714079i | \(-0.746846\pi\) |
0.862229 | + | 0.506519i | \(0.169068\pi\) | |||||||
\(660\) | 20.5587 | + | 3.54211i | 0.800245 | + | 0.137876i | ||||
\(661\) | −1.17648 | − | 2.21264i | −0.0457598 | − | 0.0860617i | 0.859019 | − | 0.511945i | \(-0.171075\pi\) |
−0.904778 | + | 0.425883i | \(0.859964\pi\) | |||||||
\(662\) | −0.825038 | + | 0.884745i | −0.0320660 | + | 0.0343866i | ||||
\(663\) | 3.27818 | − | 14.1994i | 0.127314 | − | 0.551457i | ||||
\(664\) | 4.32185 | + | 13.3013i | 0.167720 | + | 0.516190i | ||||
\(665\) | 16.7872 | + | 20.3602i | 0.650978 | + | 0.789537i | ||||
\(666\) | −3.41127 | + | 10.4988i | −0.132184 | + | 0.406821i | ||||
\(667\) | −32.5512 | − | 19.5587i | −1.26039 | − | 0.757316i | ||||
\(668\) | −3.62881 | − | 1.69214i | −0.140403 | − | 0.0654710i | ||||
\(669\) | −62.5458 | − | 30.5056i | −2.41816 | − | 1.17942i | ||||
\(670\) | 3.10350 | + | 10.0107i | 0.119899 | + | 0.386749i | ||||
\(671\) | 5.51681 | − | 1.58192i | 0.212974 | − | 0.0610693i | ||||
\(672\) | −14.5986 | − | 38.0308i | −0.563155 | − | 1.46707i | ||||
\(673\) | −13.8340 | − | 21.3025i | −0.533261 | − | 0.821150i | 0.464667 | − | 0.885485i | \(-0.346174\pi\) |
−0.997928 | + | 0.0643353i | \(0.979507\pi\) | |||||||
\(674\) | −11.2481 | − | 13.4050i | −0.433262 | − | 0.516342i | ||||
\(675\) | −2.10356 | − | 8.79668i | −0.0809661 | − | 0.338585i | ||||
\(676\) | −3.61568 | + | 6.26255i | −0.139065 | + | 0.240867i | ||||
\(677\) | 0.269492 | + | 5.14222i | 0.0103574 | + | 0.197632i | 0.998907 | + | 0.0467367i | \(0.0148822\pi\) |
−0.988550 | + | 0.150895i | \(0.951785\pi\) | |||||||
\(678\) | 27.9658 | + | 15.5017i | 1.07402 | + | 0.595340i | ||||
\(679\) | 12.6861 | + | 26.0104i | 0.486849 | + | 0.998188i | ||||
\(680\) | 11.8605 | + | 3.57541i | 0.454831 | + | 0.137111i | ||||
\(681\) | 20.4914 | + | 5.87582i | 0.785233 | + | 0.225162i | ||||
\(682\) | 1.13034 | + | 12.9198i | 0.0432829 | + | 0.494725i | ||||
\(683\) | −5.43273 | − | 34.3009i | −0.207878 | − | 1.31249i | −0.842093 | − | 0.539332i | \(-0.818677\pi\) |
0.634216 | − | 0.773156i | \(-0.281323\pi\) | |||||||
\(684\) | −21.5832 | − | 1.02483i | −0.825256 | − | 0.0391855i | ||||
\(685\) | 11.1366 | − | 34.7370i | 0.425506 | − | 1.32723i | ||||
\(686\) | −13.6008 | − | 5.49509i | −0.519282 | − | 0.209804i | ||||
\(687\) | −30.3710 | − | 28.3214i | −1.15873 | − | 1.08053i | ||||
\(688\) | −2.09773 | + | 1.58075i | −0.0799753 | + | 0.0602657i | ||||
\(689\) | −2.21509 | − | 15.7612i | −0.0843882 | − | 0.600453i | ||||
\(690\) | 22.8549 | + | 17.7125i | 0.870070 | + | 0.674304i | ||||
\(691\) | −1.31444 | + | 0.279393i | −0.0500037 | + | 0.0106286i | −0.232846 | − | 0.972514i | \(-0.574804\pi\) |
0.182842 | + | 0.983142i | \(0.441470\pi\) | |||||||
\(692\) | −0.0197886 | + | 0.0515509i | −0.000752248 | + | 0.00195967i | ||||
\(693\) | 2.34761 | − | 26.8333i | 0.0891784 | − | 1.01931i | ||||
\(694\) | −9.87938 | + | 0.690834i | −0.375016 | + | 0.0262237i | ||||
\(695\) | 11.1173 | + | 16.9732i | 0.421702 | + | 0.643832i | ||||
\(696\) | −17.6355 | + | 39.6100i | −0.668473 | + | 1.50141i | ||||
\(697\) | −1.96956 | + | 3.55317i | −0.0746022 | + | 0.134586i | ||||
\(698\) | −12.9281 | − | 9.74200i | −0.489335 | − | 0.368740i | ||||
\(699\) | 8.82040 | + | 50.0230i | 0.333618 | + | 1.89204i | ||||
\(700\) | 17.7807 | − | 3.60093i | 0.672046 | − | 0.136102i | ||||
\(701\) | −15.0557 | − | 12.6332i | −0.568645 | − | 0.477150i | 0.312551 | − | 0.949901i | \(-0.398817\pi\) |
−0.881196 | + | 0.472751i | \(0.843261\pi\) | |||||||
\(702\) | −3.61035 | − | 1.83957i | −0.136264 | − | 0.0694299i | ||||
\(703\) | −11.0679 | + | 11.5744i | −0.417435 | + | 0.436538i | ||||
\(704\) | 5.95966 | + | 8.20276i | 0.224613 | + | 0.309153i | ||||
\(705\) | −8.33479 | − | 1.88990i | −0.313906 | − | 0.0711776i | ||||
\(706\) | −2.47272 | + | 8.62341i | −0.0930622 | + | 0.324546i | ||||
\(707\) | −14.7455 | + | 21.0588i | −0.554563 | + | 0.791998i | ||||
\(708\) | 0.346536 | − | 19.8530i | 0.0130236 | − | 0.746122i | ||||
\(709\) | 20.6418 | + | 16.1272i | 0.775220 | + | 0.605668i | 0.923642 | − | 0.383256i | \(-0.125197\pi\) |
−0.148422 | + | 0.988924i | \(0.547419\pi\) | |||||||
\(710\) | −1.26881 | + | 12.5442i | −0.0476177 | + | 0.470776i | ||||
\(711\) | 9.50217 | − | 44.7042i | 0.356359 | − | 1.67654i | ||||
\(712\) | −1.55565 | + | 3.66487i | −0.0583003 | + | 0.137347i | ||||
\(713\) | 14.2653 | − | 33.6068i | 0.534238 | − | 1.25859i | ||||
\(714\) | 2.41642 | − | 11.3684i | 0.0904323 | − | 0.425451i | ||||
\(715\) | 8.34863 | + | 14.3304i | 0.312221 | + | 0.535926i | ||||
\(716\) | −18.0077 | − | 14.0692i | −0.672979 | − | 0.525789i | ||||
\(717\) | −0.924357 | + | 52.9564i | −0.0345207 | + | 1.97769i | ||||
\(718\) | −10.5815 | + | 15.1119i | −0.394898 | + | 0.563973i | ||||
\(719\) | 7.06878 | − | 24.6518i | 0.263621 | − | 0.919356i | −0.712417 | − | 0.701756i | \(-0.752400\pi\) |
0.976038 | − | 0.217599i | \(-0.0698227\pi\) | |||||||
\(720\) | −2.01585 | + | 3.38489i | −0.0751264 | + | 0.126148i | ||||
\(721\) | −28.4486 | − | 39.1561i | −1.05948 | − | 1.45825i | ||||
\(722\) | 13.5716 | + | 7.34950i | 0.505084 | + | 0.273520i | ||||
\(723\) | 33.5904 | + | 17.1152i | 1.24924 | + | 0.636520i | ||||
\(724\) | −11.3725 | − | 9.54266i | −0.422656 | − | 0.354650i | ||||
\(725\) | −25.7279 | − | 17.0621i | −0.955510 | − | 0.633670i | ||||
\(726\) | −1.37472 | − | 7.79641i | −0.0510206 | − | 0.289352i | ||||
\(727\) | −0.895858 | − | 0.675077i | −0.0332255 | − | 0.0250372i | 0.585072 | − | 0.810981i | \(-0.301066\pi\) |
−0.618298 | + | 0.785944i | \(0.712177\pi\) | |||||||
\(728\) | 9.82050 | − | 17.7167i | 0.363972 | − | 0.656623i | ||||
\(729\) | −15.3639 | + | 34.5079i | −0.569033 | + | 1.27807i | ||||
\(730\) | −14.4713 | + | 18.0143i | −0.535605 | + | 0.666738i | ||||
\(731\) | −11.2320 | + | 0.785420i | −0.415431 | + | 0.0290498i | ||||
\(732\) | −0.645052 | + | 7.37297i | −0.0238418 | + | 0.272513i | ||||
\(733\) | −5.27293 | + | 13.7365i | −0.194760 | + | 0.507368i | −0.995833 | − | 0.0911997i | \(-0.970930\pi\) |
0.801072 | + | 0.598567i | \(0.204263\pi\) | |||||||
\(734\) | −12.8169 | + | 2.72432i | −0.473081 | + | 0.100557i | ||||
\(735\) | −0.533582 | − | 1.83369i | −0.0196815 | − | 0.0676368i | ||||
\(736\) | −4.97623 | − | 35.4077i | −0.183426 | − | 1.30515i | ||||
\(737\) | 12.3948 | − | 9.34018i | 0.456570 | − | 0.344050i | ||||
\(738\) | 4.37220 | + | 4.07714i | 0.160943 | + | 0.150082i | ||||
\(739\) | 36.9800 | + | 14.9409i | 1.36033 | + | 0.549610i | 0.934749 | − | 0.355309i | \(-0.115624\pi\) |
0.425584 | + | 0.904919i | \(0.360069\pi\) | |||||||
\(740\) | 3.44318 | + | 10.4575i | 0.126574 | + | 0.384426i | ||||
\(741\) | −18.8444 | − | 24.7534i | −0.692266 | − | 0.909339i | ||||
\(742\) | −1.98572 | − | 12.5373i | −0.0728980 | − | 0.460260i | ||||
\(743\) | 0.642346 | + | 7.34205i | 0.0235654 | + | 0.269354i | 0.998832 | + | 0.0483211i | \(0.0153871\pi\) |
−0.975266 | + | 0.221032i | \(0.929057\pi\) | |||||||
\(744\) | −40.0698 | − | 11.4898i | −1.46903 | − | 0.421238i | ||||
\(745\) | −3.54754 | + | 5.10887i | −0.129972 | + | 0.187175i | ||||
\(746\) | 5.95576 | + | 12.2111i | 0.218056 | + | 0.447081i | ||||
\(747\) | −16.6760 | − | 9.24367i | −0.610144 | − | 0.338208i | ||||
\(748\) | −0.385194 | − | 7.34994i | −0.0140841 | − | 0.268740i | ||||
\(749\) | −20.3168 | + | 35.1896i | −0.742358 | + | 1.28580i | ||||
\(750\) | 17.9201 | + | 15.2119i | 0.654349 | + | 0.555459i | ||||
\(751\) | 10.5448 | + | 12.5668i | 0.384786 | + | 0.458571i | 0.923319 | − | 0.384034i | \(-0.125466\pi\) |
−0.538532 | + | 0.842605i | \(0.681021\pi\) | |||||||
\(752\) | 0.383095 | + | 0.589915i | 0.0139700 | + | 0.0215120i | ||||
\(753\) | −0.752029 | − | 1.95910i | −0.0274054 | − | 0.0713936i | ||||
\(754\) | −13.2945 | + | 3.81213i | −0.484157 | + | 0.138830i | ||||
\(755\) | 17.5593 | − | 12.3979i | 0.639049 | − | 0.451206i | ||||
\(756\) | 5.89917 | + | 2.87722i | 0.214551 | + | 0.104643i | ||||
\(757\) | 2.59366 | + | 1.20944i | 0.0942682 | + | 0.0439580i | 0.469180 | − | 0.883102i | \(-0.344549\pi\) |
−0.374912 | + | 0.927060i | \(0.622327\pi\) | |||||||
\(758\) | −15.5559 | − | 9.34694i | −0.565017 | − | 0.339496i | ||||
\(759\) | 13.2314 | − | 40.7220i | 0.480268 | − | 1.47811i | ||||
\(760\) | 22.0509 | − | 14.5984i | 0.799871 | − | 0.529540i | ||||
\(761\) | 7.53453 | + | 23.1889i | 0.273127 | + | 0.840597i | 0.989709 | + | 0.143095i | \(0.0457054\pi\) |
−0.716582 | + | 0.697502i | \(0.754295\pi\) | |||||||
\(762\) | 5.56067 | − | 24.0859i | 0.201442 | − | 0.872540i | ||||
\(763\) | −2.54779 | + | 2.73218i | −0.0922364 | + | 0.0989114i | ||||
\(764\) | 7.86229 | + | 14.7868i | 0.284448 | + | 0.534968i | ||||
\(765\) | −15.1497 | + | 7.46258i | −0.547740 | + | 0.269810i | ||||
\(766\) | 14.0570 | − | 17.9921i | 0.507899 | − | 0.650082i | ||||
\(767\) | 12.2677 | − | 9.93415i | 0.442959 | − | 0.358702i | ||||
\(768\) | −36.2415 | + | 9.71089i | −1.30775 | + | 0.350412i | ||||
\(769\) | 2.49856 | + | 35.7311i | 0.0901005 | + | 1.28850i | 0.806679 | + | 0.590990i | \(0.201263\pi\) |
−0.716578 | + | 0.697506i | \(0.754293\pi\) | |||||||
\(770\) | 6.85676 | + | 11.3110i | 0.247101 | + | 0.407621i | ||||
\(771\) | 7.24640 | + | 68.9449i | 0.260973 | + | 2.48299i | ||||
\(772\) | 22.7050 | − | 8.71564i | 0.817172 | − | 0.313683i | ||||
\(773\) | −26.7615 | + | 24.9555i | −0.962543 | + | 0.897586i | −0.994795 | − | 0.101894i | \(-0.967510\pi\) |
0.0322521 | + | 0.999480i | \(0.489732\pi\) | |||||||
\(774\) | −2.87715 | + | 16.3172i | −0.103417 | + | 0.586508i | ||||
\(775\) | 12.8013 | − | 26.7768i | 0.459838 | − | 0.961851i | ||||
\(776\) | 27.2527 | − | 9.91916i | 0.978314 | − | 0.356077i | ||||
\(777\) | 23.6984 | − | 10.0594i | 0.850175 | − | 0.360878i | ||||
\(778\) | 12.7219 | + | 2.01494i | 0.456101 | + | 0.0722392i | ||||
\(779\) | 3.14776 | + | 8.08130i | 0.112780 | + | 0.289543i | ||||
\(780\) | −21.1112 | + | 3.42847i | −0.755902 | + | 0.122759i | ||||
\(781\) | 18.1158 | − | 4.51677i | 0.648233 | − | 0.161623i | ||||
\(782\) | 4.31126 | − | 9.24552i | 0.154170 | − | 0.330619i | ||||
\(783\) | −3.63623 | − | 10.5604i | −0.129948 | − | 0.377397i | ||||
\(784\) | −0.0737907 | + | 0.138780i | −0.00263538 | + | 0.00495644i | ||||
\(785\) | 22.4978 | + | 8.08892i | 0.802981 | + | 0.288706i | ||||
\(786\) | 25.6666 | − | 28.5056i | 0.915496 | − | 1.01676i | ||||
\(787\) | −1.98168 | − | 0.103855i | −0.0706392 | − | 0.00370204i | 0.0169836 | − | 0.999856i | \(-0.494594\pi\) |
−0.0876228 | + | 0.996154i | \(0.527927\pi\) | |||||||
\(788\) | 12.0364 | + | 5.10916i | 0.428780 | + | 0.182006i | ||||
\(789\) | −39.8478 | − | 24.8997i | −1.41862 | − | 0.886452i | ||||
\(790\) | 9.20849 | + | 20.4666i | 0.327623 | + | 0.728168i | ||||
\(791\) | −8.56083 | − | 40.2755i | −0.304388 | − | 1.43203i | ||||
\(792\) | −26.4980 | − | 5.15069i | −0.941565 | − | 0.183022i | ||||
\(793\) | −4.81980 | + | 3.37486i | −0.171156 | + | 0.119845i | ||||
\(794\) | 3.03695 | − | 6.22666i | 0.107777 | − | 0.220976i | ||||
\(795\) | −22.6857 | + | 24.5192i | −0.804579 | + | 0.869607i | ||||
\(796\) | −36.0198 | − | 2.51875i | −1.27669 | − | 0.0892748i | ||||
\(797\) | 3.70182 | − | 23.3724i | 0.131125 | − | 0.827891i | −0.831197 | − | 0.555978i | \(-0.812344\pi\) |
0.962322 | − | 0.271913i | \(-0.0876563\pi\) | |||||||
\(798\) | −15.3713 | − | 19.4764i | −0.544138 | − | 0.689456i | ||||
\(799\) | 3.01518i | 0.106670i | ||||||||
\(800\) | −2.76002 | − | 28.9356i | −0.0975813 | − | 1.02303i | ||||
\(801\) | −1.85640 | − | 5.10041i | −0.0655926 | − | 0.180214i | ||||
\(802\) | −19.6745 | − | 6.01508i | −0.694729 | − | 0.212400i | ||||
\(803\) | 32.3528 | + | 11.1400i | 1.14171 | + | 0.393121i | ||||
\(804\) | 5.51674 | + | 19.2392i | 0.194560 | + | 0.678513i | ||||
\(805\) | −2.09430 | − | 37.1761i | −0.0738144 | − | 1.31029i | ||||
\(806\) | −5.40809 | − | 12.1468i | −0.190492 | − | 0.427852i | ||||
\(807\) | 65.3236 | + | 5.71507i | 2.29950 | + | 0.201180i | ||||
\(808\) | 19.4440 | + | 16.9024i | 0.684037 | + | 0.594624i | ||||
\(809\) | 9.32020 | − | 8.39195i | 0.327681 | − | 0.295045i | −0.488826 | − | 0.872382i | \(-0.662575\pi\) |
0.816506 | + | 0.577336i | \(0.195908\pi\) | |||||||
\(810\) | −2.46712 | − | 11.3875i | −0.0866859 | − | 0.400115i | ||||
\(811\) | 13.8368 | + | 0.483192i | 0.485876 | + | 0.0169672i | 0.276791 | − | 0.960930i | \(-0.410729\pi\) |
0.209086 | + | 0.977897i | \(0.432951\pi\) | |||||||
\(812\) | 21.4234 | − | 6.54979i | 0.751814 | − | 0.229852i | ||||
\(813\) | 13.4646 | + | 17.8681i | 0.472225 | + | 0.626663i | ||||
\(814\) | −6.32553 | + | 4.94205i | −0.221710 | + | 0.173219i | ||||
\(815\) | 26.9102 | + | 42.6925i | 0.942625 | + | 1.49545i | ||||
\(816\) | 2.39404 | + | 0.777870i | 0.0838081 | + | 0.0272309i | ||||
\(817\) | −14.0327 | + | 19.5153i | −0.490943 | + | 0.682753i | ||||
\(818\) | 9.66725 | − | 9.66725i | 0.338007 | − | 0.338007i | ||||
\(819\) | 6.68073 | + | 26.7949i | 0.233444 | + | 0.936291i | ||||
\(820\) | 5.92071 | + | 0.703452i | 0.206760 | + | 0.0245656i | ||||
\(821\) | −13.7461 | − | 13.2745i | −0.479742 | − | 0.463282i | 0.415028 | − | 0.909809i | \(-0.363772\pi\) |
−0.894770 | + | 0.446527i | \(0.852661\pi\) | |||||||
\(822\) | −11.1665 | + | 32.4299i | −0.389476 | + | 1.13112i | ||||
\(823\) | −18.2230 | − | 19.5418i | −0.635215 | − | 0.681185i | 0.329598 | − | 0.944121i | \(-0.393087\pi\) |
−0.964813 | + | 0.262937i | \(0.915309\pi\) | |||||||
\(824\) | −42.0057 | + | 24.2520i | −1.46334 | + | 0.844859i | ||||
\(825\) | 12.2192 | − | 32.5926i | 0.425417 | − | 1.13473i | ||||
\(826\) | 9.64411 | − | 8.09237i | 0.335561 | − | 0.281569i | ||||
\(827\) | 15.1862 | − | 3.50601i | 0.528075 | − | 0.121916i | 0.0475034 | − | 0.998871i | \(-0.484874\pi\) |
0.480572 | + | 0.876955i | \(0.340429\pi\) | |||||||
\(828\) | 23.6945 | + | 19.1874i | 0.823440 | + | 0.666808i | ||||
\(829\) | 3.79539 | + | 1.68982i | 0.131819 | + | 0.0586897i | 0.471586 | − | 0.881820i | \(-0.343682\pi\) |
−0.339767 | + | 0.940510i | \(0.610348\pi\) | |||||||
\(830\) | 9.28847 | − | 1.17741i | 0.322407 | − | 0.0408686i | ||||
\(831\) | 34.4306 | + | 35.6540i | 1.19439 | + | 1.23682i | ||||
\(832\) | −8.51502 | − | 5.96228i | −0.295205 | − | 0.206705i | ||||
\(833\) | −0.589288 | + | 0.326648i | −0.0204176 | + | 0.0113177i | ||||
\(834\) | −10.1095 | − | 16.1786i | −0.350064 | − | 0.560219i | ||||
\(835\) | −3.90560 | + | 5.42010i | −0.135159 | + | 0.187570i | ||||
\(836\) | −12.5946 | − | 9.39407i | −0.435594 | − | 0.324901i | ||||
\(837\) | 9.56734 | − | 4.87480i | 0.330696 | − | 0.168498i | ||||
\(838\) | 19.2123 | + | 4.43550i | 0.663677 | + | 0.153222i | ||||
\(839\) | −2.04474 | − | 2.61715i | −0.0705924 | − | 0.0903541i | 0.751418 | − | 0.659826i | \(-0.229370\pi\) |
−0.822011 | + | 0.569472i | \(0.807148\pi\) | |||||||
\(840\) | −41.8383 | + | 7.54625i | −1.44356 | + | 0.260370i | ||||
\(841\) | −8.05387 | − | 4.28232i | −0.277720 | − | 0.147666i | ||||
\(842\) | −0.155653 | + | 0.800764i | −0.00536415 | + | 0.0275961i | ||||
\(843\) | −23.4329 | − | 6.27882i | −0.807071 | − | 0.216254i | ||||
\(844\) | 29.3354 | − | 13.0610i | 1.00977 | − | 0.449577i | ||||
\(845\) | 9.13697 | + | 7.88006i | 0.314321 | + | 0.271082i | ||||
\(846\) | 4.30520 | + | 1.07341i | 0.148016 | + | 0.0369045i | ||||
\(847\) | −6.41569 | + | 7.92272i | −0.220446 | + | 0.272228i | ||||
\(848\) | 2.74549 | − | 0.143885i | 0.0942806 | − | 0.00494104i | ||||
\(849\) | 35.2863 | + | 12.8431i | 1.21102 | + | 0.440776i | ||||
\(850\) | 3.83586 | − | 7.35252i | 0.131569 | − | 0.252189i | ||||
\(851\) | 22.2539 | − | 3.92396i | 0.762853 | − | 0.134512i | ||||
\(852\) | −2.93426 | + | 23.8977i | −0.100526 | + | 0.818721i | ||||
\(853\) | −2.56345 | + | 2.22837i | −0.0877708 | + | 0.0762979i | −0.698834 | − | 0.715284i | \(-0.746298\pi\) |
0.611064 | + | 0.791582i | \(0.290742\pi\) | |||||||
\(854\) | −3.79639 | + | 2.75824i | −0.129910 | + | 0.0943851i | ||||
\(855\) | −8.41275 | + | 35.0572i | −0.287710 | + | 1.19893i | ||||
\(856\) | 32.9441 | + | 23.9353i | 1.12601 | + | 0.818092i | ||||
\(857\) | −21.6405 | + | 1.89330i | −0.739225 | + | 0.0646738i | −0.450547 | − | 0.892752i | \(-0.648771\pi\) |
−0.288678 | + | 0.957426i | \(0.593216\pi\) | |||||||
\(858\) | −7.56002 | − | 13.6386i | −0.258095 | − | 0.465615i | ||||
\(859\) | −4.73808 | + | 33.7132i | −0.161661 | + | 1.15028i | 0.725299 | + | 0.688434i | \(0.241701\pi\) |
−0.886960 | + | 0.461846i | \(0.847187\pi\) | |||||||
\(860\) | 7.30212 | + | 14.8240i | 0.249000 | + | 0.505493i | ||||
\(861\) | 0.486576 | − | 13.9337i | 0.0165825 | − | 0.474859i | ||||
\(862\) | 25.2808 | + | 16.4175i | 0.861068 | + | 0.559184i | ||||
\(863\) | −1.29626 | + | 24.7342i | −0.0441253 | + | 0.841961i | 0.883496 | + | 0.468439i | \(0.155183\pi\) |
−0.927621 | + | 0.373522i | \(0.878150\pi\) | |||||||
\(864\) | 5.57268 | − | 8.91814i | 0.189586 | − | 0.303401i | ||||
\(865\) | 0.0783237 | + | 0.0485167i | 0.00266309 | + | 0.00164962i | ||||
\(866\) | −5.59035 | − | 6.20871i | −0.189968 | − | 0.210981i | ||||
\(867\) | −20.8993 | − | 25.8085i | −0.709778 | − | 0.876503i | ||||
\(868\) | 9.10209 | + | 19.5195i | 0.308945 | + | 0.662535i | ||||
\(869\) | 23.9061 | − | 23.0859i | 0.810959 | − | 0.783134i | ||||
\(870\) | 23.8421 | + | 16.5557i | 0.808321 | + | 0.561289i | ||||
\(871\) | −8.89759 | + | 13.1912i | −0.301483 | + | 0.446967i | ||||
\(872\) | 2.45618 | + | 2.82551i | 0.0831768 | + | 0.0956839i | ||||
\(873\) | −17.9497 | + | 35.2282i | −0.607504 | + | 1.19229i | ||||
\(874\) | −9.30053 | − | 19.6919i | −0.314595 | − | 0.666089i | ||||
\(875\) | −0.355531 | − | 30.2675i | −0.0120192 | − | 1.02323i | ||||
\(876\) | −28.3636 | + | 33.8024i | −0.958317 | + | 1.14208i | ||||
\(877\) | −15.9085 | − | 1.95332i | −0.537192 | − | 0.0659589i | −0.151274 | − | 0.988492i | \(-0.548337\pi\) |
−0.385918 | + | 0.922533i | \(0.626115\pi\) | |||||||
\(878\) | 24.3070 | − | 0.424280i | 0.820322 | − | 0.0143188i | ||||
\(879\) | 43.3313 | − | 21.1341i | 1.46153 | − | 0.712836i | ||||
\(880\) | −2.59162 | + | 1.22087i | −0.0873636 | + | 0.0411555i | ||||
\(881\) | 2.39392 | − | 22.7767i | 0.0806533 | − | 0.767365i | −0.877204 | − | 0.480119i | \(-0.840594\pi\) |
0.957857 | − | 0.287246i | \(-0.0927398\pi\) | |||||||
\(882\) | 0.256614 | + | 0.957697i | 0.00864065 | + | 0.0322473i | ||||
\(883\) | 26.4577 | − | 30.4360i | 0.890371 | − | 1.02425i | −0.109172 | − | 0.994023i | \(-0.534820\pi\) |
0.999543 | − | 0.0302317i | \(-0.00962450\pi\) | |||||||
\(884\) | 2.82666 | + | 6.99622i | 0.0950708 | + | 0.235308i | ||||
\(885\) | −32.4329 | − | 6.76120i | −1.09022 | − | 0.227275i | ||||
\(886\) | −19.1118 | − | 17.2083i | −0.642072 | − | 0.578124i | ||||
\(887\) | 1.75400 | + | 14.2852i | 0.0588934 | + | 0.479648i | 0.992583 | + | 0.121566i | \(0.0387916\pi\) |
−0.933690 | + | 0.358083i | \(0.883431\pi\) | |||||||
\(888\) | −7.54335 | − | 24.6732i | −0.253138 | − | 0.827978i | ||||
\(889\) | −28.1062 | + | 14.9443i | −0.942652 | + | 0.501217i | ||||
\(890\) | 2.21548 | + | 1.48177i | 0.0742630 | + | 0.0496691i | ||||
\(891\) | −14.6321 | + | 9.14317i | −0.490195 | + | 0.306308i | ||||
\(892\) | 35.5886 | − | 5.63668i | 1.19159 | − | 0.188730i | ||||
\(893\) | 4.95116 | + | 4.11323i | 0.165684 | + | 0.137644i | ||||
\(894\) | 3.43741 | − | 4.73119i | 0.114964 | − | 0.158235i | ||||
\(895\) | −28.6782 | + | 25.1274i | −0.958607 | + | 0.839916i | ||||
\(896\) | 19.2237 | + | 12.9666i | 0.642220 | + | 0.433183i | ||||
\(897\) | 0.766119 | + | 43.8909i | 0.0255800 | + | 1.46548i | ||||
\(898\) | −9.83923 | + | 13.0571i | −0.328339 | + | 0.435721i | ||||
\(899\) | 12.5350 | − | 34.4395i | 0.418065 | − | 1.14862i | ||||
\(900\) | 18.5486 | + | 16.4400i | 0.618286 | + | 0.548001i | ||||
\(901\) | 10.2062 | + | 5.89253i | 0.340017 | + | 0.196309i | ||||
\(902\) | 0.977894 | + | 4.23572i | 0.0325603 | + | 0.141034i | ||||
\(903\) | 33.1220 | − | 19.9017i | 1.10223 | − | 0.662288i | ||||
\(904\) | −41.0381 | + | 4.31328i | −1.36491 | + | 0.143458i | ||||
\(905\) | −19.1890 | + | 15.6637i | −0.637864 | + | 0.520680i | ||||
\(906\) | −16.7552 | + | 11.3016i | −0.556656 | + | 0.375469i | ||||
\(907\) | −3.15459 | − | 4.50522i | −0.104746 | − | 0.149593i | 0.763357 | − | 0.645977i | \(-0.223550\pi\) |
−0.868103 | + | 0.496384i | \(0.834661\pi\) | |||||||
\(908\) | −10.4365 | + | 3.59356i | −0.346346 | + | 0.119257i | ||||
\(909\) | −35.1016 | + | 1.22578i | −1.16425 | + | 0.0406564i | ||||
\(910\) | −10.4221 | − | 8.67589i | −0.345490 | − | 0.287603i | ||||
\(911\) | −23.9027 | + | 7.76646i | −0.791932 | + | 0.257314i | −0.676927 | − | 0.736050i | \(-0.736689\pi\) |
−0.115006 | + | 0.993365i | \(0.536689\pi\) | |||||||
\(912\) | 4.54320 | − | 2.87004i | 0.150440 | − | 0.0950365i | ||||
\(913\) | −6.29435 | − | 12.3534i | −0.208313 | − | 0.408837i | ||||
\(914\) | −3.80349 | + | 9.41397i | −0.125808 | + | 0.311386i | ||||
\(915\) | 11.8838 | + | 3.35732i | 0.392865 | + | 0.110989i | ||||
\(916\) | 21.2930 | + | 2.99254i | 0.703541 | + | 0.0988763i | ||||
\(917\) | −49.3877 | − | 0.862066i | −1.63093 | − | 0.0284679i | ||||
\(918\) | 2.71919 | − | 1.26798i | 0.0897468 | − | 0.0418496i | ||||
\(919\) | −11.6570 | − | 1.22520i | −0.384530 | − | 0.0404158i | −0.0897086 | − | 0.995968i | \(-0.528594\pi\) |
−0.294822 | + | 0.955552i | \(0.595260\pi\) | |||||||
\(920\) | −37.2716 | − | 1.80702i | −1.22881 | − | 0.0595758i | ||||
\(921\) | −19.2831 | + | 77.3404i | −0.635401 | + | 2.54845i | ||||
\(922\) | −17.3937 | − | 28.9479i | −0.572829 | − | 0.953348i | ||||
\(923\) | −16.0532 | + | 10.4251i | −0.528399 | + | 0.343146i | ||||
\(924\) | 12.6294 | + | 21.8748i | 0.415477 | + | 0.719628i | ||||
\(925\) | 18.2150 | − | 2.38144i | 0.598905 | − | 0.0783014i | ||||
\(926\) | 13.5373 | + | 2.38699i | 0.444863 | + | 0.0784413i | ||||
\(927\) | 19.3330 | − | 63.2355i | 0.634980 | − | 2.07692i | ||||
\(928\) | −6.84879 | − | 35.2340i | −0.224823 | − | 1.15661i | ||||
\(929\) | 2.75001 | − | 39.3270i | 0.0902249 | − | 1.29028i | −0.715763 | − | 0.698343i | \(-0.753921\pi\) |
0.805988 | − | 0.591932i | \(-0.201635\pi\) | |||||||
\(930\) | −12.5715 | + | 24.9137i | −0.412236 | + | 0.816951i | ||||
\(931\) | −0.267512 | + | 1.41326i | −0.00876734 | + | 0.0463177i | ||||
\(932\) | −18.5976 | − | 18.5976i | −0.609183 | − | 0.609183i | ||||
\(933\) | 37.9902 | − | 63.2263i | 1.24374 | − | 2.06994i | ||||
\(934\) | −1.16504 | − | 33.3623i | −0.0381212 | − | 1.09165i | ||||
\(935\) | −12.1674 | − | 1.66146i | −0.397916 | − | 0.0543356i | ||||
\(936\) | 27.4055 | − | 3.85159i | 0.895777 | − | 0.125893i | ||||
\(937\) | −34.9258 | + | 4.28835i | −1.14098 | + | 0.140094i | −0.670216 | − | 0.742166i | \(-0.733798\pi\) |
−0.470761 | + | 0.882261i | \(0.656021\pi\) | |||||||
\(938\) | −6.91144 | + | 10.6427i | −0.225667 | + | 0.347496i | ||||
\(939\) | 15.8914 | + | 3.37783i | 0.518597 | + | 0.110231i | ||||
\(940\) | 4.09647 | − | 1.67377i | 0.133612 | − | 0.0545923i | ||||
\(941\) | 3.80396 | − | 1.53690i | 0.124006 | − | 0.0501016i | −0.311765 | − | 0.950159i | \(-0.600920\pi\) |
0.435771 | + | 0.900058i | \(0.356476\pi\) | |||||||
\(942\) | −20.9860 | − | 8.05576i | −0.683760 | − | 0.262471i | ||||
\(943\) | 3.16730 | − | 11.8205i | 0.103142 | − | 0.384929i | ||||
\(944\) | 1.52476 | + | 2.26054i | 0.0496266 | + | 0.0735745i | ||||
\(945\) | 6.55629 | − | 8.77173i | 0.213276 | − | 0.285344i | ||||
\(946\) | −8.36942 | + | 8.66679i | −0.272113 | + | 0.281782i | ||||
\(947\) | −46.4833 | + | 9.03545i | −1.51051 | + | 0.293613i | −0.877138 | − | 0.480238i | \(-0.840550\pi\) |
−0.633368 | + | 0.773851i | \(0.718328\pi\) | |||||||
\(948\) | 16.7458 | + | 39.4506i | 0.543877 | + | 1.28129i | ||||
\(949\) | −35.0800 | −1.13875 | ||||||||
\(950\) | −6.84061 | − | 16.3289i | −0.221939 | − | 0.529779i | ||||
\(951\) | 5.62918 | 0.182539 | ||||||||
\(952\) | 5.86052 | + | 13.8065i | 0.189941 | + | 0.447472i | ||||
\(953\) | −36.0026 | + | 6.99820i | −1.16624 | + | 0.226694i | −0.736614 | − | 0.676314i | \(-0.763576\pi\) |
−0.429625 | + | 0.903007i | \(0.641354\pi\) | |||||||
\(954\) | 12.0470 | − | 12.4750i | 0.390036 | − | 0.403894i | ||||
\(955\) | 26.6896 | − | 8.27424i | 0.863657 | − | 0.267748i | ||||
\(956\) | −15.3355 | − | 22.7359i | −0.495986 | − | 0.735330i | ||||
\(957\) | 11.1247 | − | 41.5180i | 0.359611 | − | 1.34209i | ||||
\(958\) | −21.1720 | − | 8.12717i | −0.684037 | − | 0.262577i | ||||
\(959\) | 40.9514 | − | 16.5455i | 1.32239 | − | 0.534281i | ||||
\(960\) | 1.60704 | + | 21.7572i | 0.0518669 | + | 0.702211i | ||||
\(961\) | 4.14231 | + | 0.880475i | 0.133623 | + | 0.0284024i | ||||
\(962\) | 4.48221 | − | 6.90200i | 0.144512 | − | 0.222529i | ||||
\(963\) | −55.1007 | + | 6.76552i | −1.77560 | + | 0.218016i | ||||
\(964\) | −19.3304 | + | 2.71671i | −0.622589 | + | 0.0874992i | ||||
\(965\) | −7.20286 | − | 39.9345i | −0.231868 | − | 1.28554i | ||||
\(966\) | 1.22183 | + | 34.9885i | 0.0393116 | + | 1.12574i | ||||
\(967\) | −9.27507 | + | 15.4363i | −0.298266 | + | 0.496398i | −0.969580 | − | 0.244775i | \(-0.921286\pi\) |
0.671314 | + | 0.741173i | \(0.265730\pi\) | |||||||
\(968\) | 7.22425 | + | 7.22425i | 0.232196 | + | 0.232196i | ||||
\(969\) | 23.0337 | + | 0.288873i | 0.739950 | + | 0.00927995i | ||||
\(970\) | −3.11226 | − | 19.1641i | −0.0999287 | − | 0.615323i | ||||
\(971\) | −0.0364179 | + | 0.520801i | −0.00116871 | + | 0.0167133i | −0.998113 | − | 0.0613974i | \(-0.980444\pi\) |
0.996945 | + | 0.0781107i | \(0.0248888\pi\) | |||||||
\(972\) | −5.63330 | − | 28.9808i | −0.180688 | − | 0.929561i | ||||
\(973\) | −7.18264 | + | 23.4934i | −0.230265 | + | 0.753163i | ||||
\(974\) | −16.4864 | − | 2.90700i | −0.528258 | − | 0.0931462i | ||||
\(975\) | −0.966114 | + | 35.6727i | −0.0309404 | + | 1.14244i | ||||
\(976\) | −0.508176 | − | 0.880187i | −0.0162663 | − | 0.0281741i | ||||
\(977\) | 19.8355 | − | 12.8813i | 0.634594 | − | 0.412110i | −0.186859 | − | 0.982387i | \(-0.559831\pi\) |
0.821453 | + | 0.570277i | \(0.193164\pi\) | |||||||
\(978\) | −24.4386 | − | 40.6726i | −0.781460 | − | 1.30057i | ||||
\(979\) | 0.954829 | − | 3.82961i | 0.0305165 | − | 0.122395i | ||||
\(980\) | 0.770909 | + | 0.619288i | 0.0246258 | + | 0.0197824i | ||||
\(981\) | −5.07596 | − | 0.533505i | −0.162063 | − | 0.0170335i | ||||
\(982\) | −1.34599 | + | 0.627646i | −0.0429523 | + | 0.0200290i | ||||
\(983\) | −2.09187 | − | 0.0365137i | −0.0667202 | − | 0.00116461i | −0.0159174 | − | 0.999873i | \(-0.505067\pi\) |
−0.0508028 | + | 0.998709i | \(0.516178\pi\) | |||||||
\(984\) | −13.8363 | − | 1.94457i | −0.441085 | − | 0.0619905i | ||||
\(985\) | 12.1292 | − | 18.1350i | 0.386468 | − | 0.577829i | ||||
\(986\) | 3.83620 | − | 9.49492i | 0.122169 | − | 0.302380i | ||||
\(987\) | −4.69780 | − | 9.21996i | −0.149533 | − | 0.293475i | ||||
\(988\) | 15.3444 | + | 4.90248i | 0.488169 | + | 0.155969i | ||||
\(989\) | 32.2567 | − | 10.4808i | 1.02570 | − | 0.333271i | ||||
\(990\) | −6.70390 | + | 16.7816i | −0.213064 | + | 0.533355i | ||||
\(991\) | 30.3297 | − | 1.05913i | 0.963453 | − | 0.0336445i | 0.451149 | − | 0.892449i | \(-0.351014\pi\) |
0.512304 | + | 0.858804i | \(0.328792\pi\) | |||||||
\(992\) | 32.6277 | − | 11.2346i | 1.03593 | − | 0.356699i | ||||
\(993\) | 2.21087 | + | 3.15745i | 0.0701598 | + | 0.100199i | ||||
\(994\) | −12.6559 | + | 8.53654i | −0.401422 | + | 0.270763i | ||||
\(995\) | −15.3649 | + | 58.2541i | −0.487102 | + | 1.84678i | ||||
\(996\) | 17.7816 | − | 1.86892i | 0.563432 | − | 0.0592191i | ||||
\(997\) | −6.15631 | + | 3.69908i | −0.194972 | + | 0.117151i | −0.609182 | − | 0.793030i | \(-0.708502\pi\) |
0.414210 | + | 0.910181i | \(0.364058\pi\) | |||||||
\(998\) | −6.82977 | − | 29.5830i | −0.216193 | − | 0.936433i | ||||
\(999\) | 5.75564 | + | 3.32302i | 0.182100 | + | 0.105136i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 475.2.bi.a.117.18 | yes | 2304 | |
19.13 | odd | 18 | inner | 475.2.bi.a.317.31 | yes | 2304 | |
25.3 | odd | 20 | inner | 475.2.bi.a.3.31 | ✓ | 2304 | |
475.203 | even | 180 | inner | 475.2.bi.a.203.18 | yes | 2304 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bi.a.3.31 | ✓ | 2304 | 25.3 | odd | 20 | inner | |
475.2.bi.a.117.18 | yes | 2304 | 1.1 | even | 1 | trivial | |
475.2.bi.a.203.18 | yes | 2304 | 475.203 | even | 180 | inner | |
475.2.bi.a.317.31 | yes | 2304 | 19.13 | odd | 18 | inner |